AP Calculus BC Flashcards: Derivative Rules Of Constant Sum Difference

Study Derivative Rules Of Constant Sum Difference in AP Calculus BC with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

AP Calculus BC

Derivative Rules Of Constant Sum Difference

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QUESTION

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What is the derivative of $f(x) = 3x^3 + 4x$ ?

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ANSWER

9x^2 + 4. Apply sum rule: $9x^2 + 4$ .

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What this deck covers

This deck focuses on Derivative Rules Of Constant Sum Difference, giving you a quick way to review the definitions, rules, and examples that matter most for AP Calculus BC.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

All flashcards

Flashcard 1: What is the derivative of $f(x) = 3x^3 + 4x$ ?

Answer: 9x^2 + 4. Apply sum rule: $9x^2 + 4$ .

Flashcard 2: State the sum rule for derivatives.

Answer: $\frac{d}{dx}[f(x) + g(x)] = f'(x) + g'(x)$ . Derivative of sum equals sum of derivatives.

Flashcard 3: Find the derivative of $f(x) = 3 - x^3$ .

Answer: $-3x^2$ . Constant term has zero derivative.

Flashcard 4: State the derivative of $f(x) = 0$ .

Answer:

Zero function has zero derivative.

Flashcard 5: State the derivative of $f(x) = x^3 - 3x$ .

Answer: $3x^2 - 3$ . Apply power rule to each term.

Flashcard 6: State the constant multiple rule for derivatives.

Answer: $\frac{d}{dx}[cf(x)] = c \frac{d}{dx}[f(x)]$ . Factor out the constant when differentiating.

Flashcard 7: What is the derivative of $f(x) = 9x$ ?

Answer:

Derivative of $x$ is $1$ , multiply by $9$ .

Flashcard 8: What is the derivative of $f(x) = 5x + 6$ ?

Answer:

Derivative of $5x$ is $5$ , constant disappears.

Flashcard 9: What is the derivative of $f(x) = x^2 - 4x + 4$ ?

Answer: 2x - 4. Differentiate each term, constant disappears.

Flashcard 10: What is the derivative of $f(x) = 5x + 6$ ?

Answer:

Derivative of $5x$ is $5$ , constant disappears.

Flashcard 11: State the derivative of $f(x) = 2x^2$ using the constant multiple rule.

Answer: 4x. Apply constant multiple rule: $2 \cdot 2x = 4x$ .

Flashcard 12: State the derivative of $f(x) = 0$ .

Answer:

Zero function has zero derivative.

Flashcard 13: Find the derivative of $f(x) = 9x^2 - 2x + 4$ .

Answer: 18x - 2. Apply power rule to each term.

Flashcard 14: What is the derivative of $f(x) = 6x^2 + 7$ ?

Answer: 12x. Derivative of $6x^2$ is $12x$ , constant disappears.

Flashcard 15: What is the derivative of $f(x) = x^2 - 2x$ ?

Answer: 2x - 2. Apply difference rule: $2x - 2$ .

Flashcard 16: State the derivative of $f(x) = 12$ .

Answer: $0$ . Any constant has zero derivative.

Flashcard 17: What is the derivative of $f(x) = x^2 - 2x$ ?

Answer: 2x - 2. Apply difference rule: $2x - 2$ .

Flashcard 18: What is the derivative of a constant function $f(x) = c$ ?

Answer:

Constants have zero rate of change.

Flashcard 19: State the difference rule for derivatives.

Answer: $\frac{d}{dx}[f(x) - g(x)] = f'(x) - g'(x)$ . Derivative of difference equals difference of derivatives.

Flashcard 20: What is the derivative of $f(x) = 7$ ?

Answer:

Any constant has zero derivative.

Flashcard 21: What is the derivative of $f(x) = 4x - 4$ ?

Answer:

Derivative of $4x$ is $4$ , constant disappears.

Flashcard 22: Find the derivative of $f(x) = 4x^2 - 7x$ .

Answer: 8x - 7. Apply power rule to each term.

Flashcard 23: What is the derivative of $f(x) = x - 5$ ?

Answer:

Derivative of $x$ is $1$ , constant disappears.

Flashcard 24: What is the derivative of $f(x) = 8x^2 + 3$ ?

Answer: 16x. Derivative of $8x^2$ is $16x$ , constant term is zero.

Flashcard 25: What is $\frac{d}{dx}[7]$ ?

Answer:

Any constant has zero derivative.

Flashcard 26: State the rule for $\frac{d}{dx}[c]$ where $c$ is a constant.

Answer:

Constants have zero rate of change.

Flashcard 27: What is the result of $\frac{d}{dx}[4x^3]$ ?

Answer: 12x^2. Apply constant multiple rule: $4 \cdot 3x^2 = 12x^2$ .

Flashcard 28: State the derivative of $f(x) = 3x^2 + 2x$ .

Answer: 6x + 2. Apply power rule to each term.

Flashcard 29: Find the derivative of $f(x) = 5x^2$ using the constant multiple rule.

Answer: 10x. Apply constant multiple rule: $5 \cdot 2x = 10x$ .

Flashcard 30: Find the derivative of $f(x) = 3 - x^3$ .

Answer: $-3x^2$ . Constant term has zero derivative.

Flashcard 31: What is the derivative of $f(x) = 9x$ ?

Answer:

Derivative of $x$ is $1$ , multiply by $9$ .

Flashcard 32: State the derivative of $f(x) = 5x^2 + 4x$ .

Answer: 10x + 4. Apply power rule to each term.

Flashcard 33: Find $\frac{d}{dx}[2x^2 + 5x + 1]$ .

Answer: $4x + 5$ . Differentiate each term separately.

Flashcard 34: What is the derivative of $f(x) = 2x + 3x^2$ ?

Answer: 2 + 6x. Apply sum rule to each term.

Flashcard 35: What is the derivative of $f(x) = 4x - 4$ ?

Answer:

Derivative of $4x$ is $4$ , constant disappears.

Flashcard 36: What is $\frac{d}{dx}[7]$ ?

Answer:

Any constant has zero derivative.

Flashcard 37: Find $\frac{d}{dx}[3x^3 - 4x + 5]$ .

Answer: 9x^2 - 4. Differentiate each term using power rule.

Flashcard 38: Find the derivative of $f(x) = x^3 + x^2 + x$ .

Answer: 3x^2 + 2x + 1. Apply power rule to each term.

Flashcard 39: State the derivative of $f(x) = 5x^2 + 4x$ .

Answer: 10x + 4. Apply power rule to each term.

Flashcard 40: What is the derivative of $f(x) = 4x^3 - 9$ ?

Answer: 12x^2. Derivative of $4x^3$ is $12x^2$ , constant disappears.

Flashcard 41: What is the derivative of $f(x) = 2x^2 - 3x + 1$ ?

Answer: 4x - 3. Differentiate each term, constant disappears.

Flashcard 42: Find the derivative of $f(x) = 7x^3$ .

Answer: 21x^2. Apply constant multiple rule: $7 \cdot 3x^2 = 21x^2$ .

Flashcard 43: What is the derivative of $f(x) = x^4 + 2x^3$ ?

Answer: 4x^3 + 6x^2. Apply power rule: $4x^3 + 6x^2$ .

Flashcard 44: What is the derivative of $f(x) = x^2 - 4x + 4$ ?

Answer: 2x - 4. Differentiate each term, constant disappears.

Flashcard 45: What is the derivative of $f(x) = 8x^2 + 3$ ?

Answer: 16x. Derivative of $8x^2$ is $16x$ , constant term is zero.

Flashcard 46: State the rule for $\frac{d}{dx}[c]$ where $c$ is a constant.

Answer:

Constants have zero rate of change.

Flashcard 47: State the derivative of $f(x) = 2x^2$ using the constant multiple rule.

Answer: 4x. Apply constant multiple rule: $2 \cdot 2x = 4x$ .

Flashcard 48: What is the result of $\frac{d}{dx}[4x^3]$ ?

Answer: 12x^2. Apply constant multiple rule: $4 \cdot 3x^2 = 12x^2$ .

Flashcard 49: What is the derivative of $f(x) = x^4 + 2x^3$ ?

Answer: 4x^3 + 6x^2. Apply power rule: $4x^3 + 6x^2$ .

Flashcard 50: Find the derivative of $f(x) = 6$ .

Answer:

Any constant has derivative zero.

Flashcard 51: State the derivative of $f(x) = 12$ .

Answer: $0$ . Any constant has zero derivative.

Flashcard 52: Find the derivative of $f(x) = 9x^2 - 2x + 4$ .

Answer: 18x - 2. Apply power rule to each term.

Flashcard 53: State the difference rule for derivatives.

Answer: $\frac{d}{dx}[f(x) - g(x)] = f'(x) - g'(x)$ . Derivative of difference equals difference of derivatives.

Flashcard 54: Find $\frac{d}{dx}[3x^3 - 4x + 5]$ .

Answer: 9x^2 - 4. Differentiate each term using power rule.

Flashcard 55: What is the derivative of $f(x) = 2x^2 - 3x + 1$ ?

Answer: 4x - 3. Differentiate each term, constant disappears.

Flashcard 56: Find the derivative of $f(x) = x^3 + x^2 + x$ .

Answer: 3x^2 + 2x + 1. Apply power rule to each term.

Flashcard 57: Find the derivative of $f(x) = 10$ .

Answer:

Any constant has zero derivative.

Flashcard 58: State the derivative of $f(x) = x^3 - 3x$ .

Answer: $3x^2 - 3$ . Apply power rule to each term.

Flashcard 59: What is the derivative of $f(x) = 5x^4$ ?

Answer: 20x^3. Apply constant multiple rule: $5 \cdot 4x^3 = 20x^3$ .

Flashcard 60: What is the derivative of $f(x) = 7$ ?

Answer:

Any constant has zero derivative.

Flashcard 61: What is the derivative of $f(x) = 5x^4$ ?

Answer: 20x^3. Apply constant multiple rule: $5 \cdot 4x^3 = 20x^3$ .

Flashcard 62: What is the derivative of $f(x) = 6x^2 + 7$ ?

Answer: 12x. Derivative of $6x^2$ is $12x$ , constant disappears.

Flashcard 63: Find the derivative of $f(x) = 7x^3$ .

Answer: 21x^2. Apply constant multiple rule: $7 \cdot 3x^2 = 21x^2$ .

Flashcard 64: State the sum rule for derivatives.

Answer: $\frac{d}{dx}[f(x) + g(x)] = f'(x) + g'(x)$ . Derivative of sum equals sum of derivatives.

Flashcard 65: State the derivative of $f(x) = 0$ .

Answer:

Zero function has zero derivative.

Flashcard 66: What is the derivative of $f(x) = 3x^3 + 4x$ ?

Answer: 9x^2 + 4. Apply sum rule: $9x^2 + 4$ .

Flashcard 67: Find the derivative of $f(x) = 10$ .

Answer:

Any constant has zero derivative.

Flashcard 68: What is the derivative of $f(x) = x - 5$ ?

Answer:

Derivative of $x$ is $1$ , constant disappears.

Flashcard 69: Find the derivative of $f(x) = 5x^2$ using the constant multiple rule.

Answer: 10x. Apply constant multiple rule: $5 \cdot 2x = 10x$ .

Flashcard 70: Find $\frac{d}{dx}[2x^2 + 5x + 1]$ .

Answer: 4x + 5. Differentiate each term separately.

Flashcard 71: State the derivative of $f(x) = 3x^2 + 2x$ .

Answer: 6x + 2. Apply power rule to each term.

Flashcard 72: Find the derivative of $f(x) = 6$ .

Answer:

Any constant has derivative zero.

Flashcard 73: What is the derivative of $f(x) = 4x^3 - 9$ ?

Answer: 12x^2. Derivative of $4x^3$ is $12x^2$ , constant disappears.

Flashcard 74: What is the derivative of $f(x) = 2x + 3x^2$ ?

Answer: 2 + 6x. Apply sum rule to each term.

Flashcard 75: State the constant multiple rule for derivatives.

Answer: $\frac{d}{dx}[cf(x)] = c \frac{d}{dx}[f(x)]$ . Factor out the constant when differentiating.

Flashcard 76: Find the derivative of $f(x) = 4x^2 - 7x$ .

Answer: 8x - 7. Apply power rule to each term.

AP Calculus BC Flashcards: Derivative Rules Of Constant Sum Difference

Derivative Rules Of Constant Sum Difference

What this deck covers

How to use these flashcards

All flashcards

Flashcard 1: What is the derivative of f(x)=3x3+4xf(x) = 3x^3 + 4xf(x)=3x3+4x?

Flashcard 2: State the sum rule for derivatives.

Flashcard 3: Find the derivative of f(x)=3−x3f(x) = 3 - x^3f(x)=3−x3.

Flashcard 4: State the derivative of f(x)=0f(x) = 0f(x)=0.

Flashcard 5: State the derivative of f(x)=x3−3xf(x) = x^3 - 3xf(x)=x3−3x.

Flashcard 6: State the constant multiple rule for derivatives.

Flashcard 7: What is the derivative of f(x)=9xf(x) = 9xf(x)=9x?

Flashcard 8: What is the derivative of f(x)=5x+6f(x) = 5x + 6f(x)=5x+6?

Flashcard 9: What is the derivative of f(x)=x2−4x+4f(x) = x^2 - 4x + 4f(x)=x2−4x+4?

Flashcard 10: What is the derivative of f(x)=5x+6f(x) = 5x + 6f(x)=5x+6?

Flashcard 11: State the derivative of f(x)=2x2f(x) = 2x^2f(x)=2x2 using the constant multiple rule.

Flashcard 12: State the derivative of f(x)=0f(x) = 0f(x)=0.

Flashcard 13: Find the derivative of f(x)=9x2−2x+4f(x) = 9x^2 - 2x + 4f(x)=9x2−2x+4.

Flashcard 14: What is the derivative of f(x)=6x2+7f(x) = 6x^2 + 7f(x)=6x2+7?

Flashcard 15: What is the derivative of f(x)=x2−2xf(x) = x^2 - 2xf(x)=x2−2x?

Flashcard 16: State the derivative of f(x)=12f(x) = 12f(x)=12.

Flashcard 17: What is the derivative of f(x)=x2−2xf(x) = x^2 - 2xf(x)=x2−2x?

Flashcard 18: What is the derivative of a constant function f(x)=cf(x) = cf(x)=c?

Flashcard 19: State the difference rule for derivatives.

Flashcard 20: What is the derivative of f(x)=7f(x) = 7f(x)=7?

Flashcard 21: What is the derivative of f(x)=4x−4f(x) = 4x - 4f(x)=4x−4?

Flashcard 22: Find the derivative of f(x)=4x2−7xf(x) = 4x^2 - 7xf(x)=4x2−7x.

Flashcard 23: What is the derivative of f(x)=x−5f(x) = x - 5f(x)=x−5?

Flashcard 24: What is the derivative of f(x)=8x2+3f(x) = 8x^2 + 3f(x)=8x2+3?

Flashcard 25: What is ddx[7]\frac{d}{dx}[7]dxd​[7]?

Flashcard 26: State the rule for ddx[c]\frac{d}{dx}[c]dxd​[c] where ccc is a constant.

Flashcard 27: What is the result of ddx[4x3]\frac{d}{dx}[4x^3]dxd​[4x3]?

Flashcard 28: State the derivative of f(x)=3x2+2xf(x) = 3x^2 + 2xf(x)=3x2+2x.

Flashcard 29: Find the derivative of f(x)=5x2f(x) = 5x^2f(x)=5x2 using the constant multiple rule.

Flashcard 30: Find the derivative of f(x)=3−x3f(x) = 3 - x^3f(x)=3−x3.

Flashcard 31: What is the derivative of f(x)=9xf(x) = 9xf(x)=9x?

Flashcard 32: State the derivative of f(x)=5x2+4xf(x) = 5x^2 + 4xf(x)=5x2+4x.

Flashcard 33: Find ddx[2x2+5x+1]\frac{d}{dx}[2x^2 + 5x + 1]dxd​[2x2+5x+1].

Flashcard 34: What is the derivative of f(x)=2x+3x2f(x) = 2x + 3x^2f(x)=2x+3x2?

Flashcard 35: What is the derivative of f(x)=4x−4f(x) = 4x - 4f(x)=4x−4?

Flashcard 36: What is ddx[7]\frac{d}{dx}[7]dxd​[7]?

Flashcard 37: Find ddx[3x3−4x+5]\frac{d}{dx}[3x^3 - 4x + 5]dxd​[3x3−4x+5].

Flashcard 38: Find the derivative of f(x)=x3+x2+xf(x) = x^3 + x^2 + xf(x)=x3+x2+x.

Flashcard 39: State the derivative of f(x)=5x2+4xf(x) = 5x^2 + 4xf(x)=5x2+4x.

Flashcard 40: What is the derivative of f(x)=4x3−9f(x) = 4x^3 - 9f(x)=4x3−9?

Flashcard 41: What is the derivative of f(x)=2x2−3x+1f(x) = 2x^2 - 3x + 1f(x)=2x2−3x+1?

Flashcard 42: Find the derivative of f(x)=7x3f(x) = 7x^3f(x)=7x3.

Flashcard 43: What is the derivative of f(x)=x4+2x3f(x) = x^4 + 2x^3f(x)=x4+2x3?

Flashcard 44: What is the derivative of f(x)=x2−4x+4f(x) = x^2 - 4x + 4f(x)=x2−4x+4?

Flashcard 45: What is the derivative of f(x)=8x2+3f(x) = 8x^2 + 3f(x)=8x2+3?

Flashcard 46: State the rule for ddx[c]\frac{d}{dx}[c]dxd​[c] where ccc is a constant.

Flashcard 47: State the derivative of f(x)=2x2f(x) = 2x^2f(x)=2x2 using the constant multiple rule.

Flashcard 48: What is the result of ddx[4x3]\frac{d}{dx}[4x^3]dxd​[4x3]?

Flashcard 49: What is the derivative of f(x)=x4+2x3f(x) = x^4 + 2x^3f(x)=x4+2x3?

Flashcard 50: Find the derivative of f(x)=6f(x) = 6f(x)=6.

Flashcard 51: State the derivative of f(x)=12f(x) = 12f(x)=12.

Flashcard 52: Find the derivative of f(x)=9x2−2x+4f(x) = 9x^2 - 2x + 4f(x)=9x2−2x+4.

Flashcard 53: State the difference rule for derivatives.

Flashcard 54: Find ddx[3x3−4x+5]\frac{d}{dx}[3x^3 - 4x + 5]dxd​[3x3−4x+5].

Flashcard 55: What is the derivative of f(x)=2x2−3x+1f(x) = 2x^2 - 3x + 1f(x)=2x2−3x+1?

Flashcard 56: Find the derivative of f(x)=x3+x2+xf(x) = x^3 + x^2 + xf(x)=x3+x2+x.

Flashcard 57: Find the derivative of f(x)=10f(x) = 10f(x)=10.

Flashcard 58: State the derivative of f(x)=x3−3xf(x) = x^3 - 3xf(x)=x3−3x.

Flashcard 59: What is the derivative of f(x)=5x4f(x) = 5x^4f(x)=5x4?

Flashcard 60: What is the derivative of f(x)=7f(x) = 7f(x)=7?

Flashcard 61: What is the derivative of f(x)=5x4f(x) = 5x^4f(x)=5x4?

Flashcard 62: What is the derivative of f(x)=6x2+7f(x) = 6x^2 + 7f(x)=6x2+7?

Flashcard 63: Find the derivative of f(x)=7x3f(x) = 7x^3f(x)=7x3.

Flashcard 64: State the sum rule for derivatives.

Flashcard 65: State the derivative of f(x)=0f(x) = 0f(x)=0.

Flashcard 66: What is the derivative of f(x)=3x3+4xf(x) = 3x^3 + 4xf(x)=3x3+4x?

Flashcard 67: Find the derivative of f(x)=10f(x) = 10f(x)=10.

Flashcard 68: What is the derivative of f(x)=x−5f(x) = x - 5f(x)=x−5?

Flashcard 69: Find the derivative of f(x)=5x2f(x) = 5x^2f(x)=5x2 using the constant multiple rule.

Flashcard 70: Find ddx[2x2+5x+1]\frac{d}{dx}[2x^2 + 5x + 1]dxd​[2x2+5x+1].

Flashcard 71: State the derivative of f(x)=3x2+2xf(x) = 3x^2 + 2xf(x)=3x2+2x.

Flashcard 72: Find the derivative of f(x)=6f(x) = 6f(x)=6.

Flashcard 73: What is the derivative of f(x)=4x3−9f(x) = 4x^3 - 9f(x)=4x3−9?

Flashcard 74: What is the derivative of f(x)=2x+3x2f(x) = 2x + 3x^2f(x)=2x+3x2?

Flashcard 75: State the constant multiple rule for derivatives.

Flashcard 1: What is the derivative of $f(x) = 3x^3 + 4x$ ?

Flashcard 3: Find the derivative of $f(x) = 3 - x^3$ .

Flashcard 4: State the derivative of $f(x) = 0$ .

Flashcard 5: State the derivative of $f(x) = x^3 - 3x$ .

Flashcard 7: What is the derivative of $f(x) = 9x$ ?

Flashcard 8: What is the derivative of $f(x) = 5x + 6$ ?

Flashcard 9: What is the derivative of $f(x) = x^2 - 4x + 4$ ?

Flashcard 10: What is the derivative of $f(x) = 5x + 6$ ?

Flashcard 11: State the derivative of $f(x) = 2x^2$ using the constant multiple rule.

Flashcard 12: State the derivative of $f(x) = 0$ .

Flashcard 13: Find the derivative of $f(x) = 9x^2 - 2x + 4$ .

Flashcard 14: What is the derivative of $f(x) = 6x^2 + 7$ ?

Flashcard 15: What is the derivative of $f(x) = x^2 - 2x$ ?

Flashcard 16: State the derivative of $f(x) = 12$ .

Flashcard 17: What is the derivative of $f(x) = x^2 - 2x$ ?

Flashcard 18: What is the derivative of a constant function $f(x) = c$ ?

Flashcard 20: What is the derivative of $f(x) = 7$ ?

Flashcard 21: What is the derivative of $f(x) = 4x - 4$ ?

Flashcard 22: Find the derivative of $f(x) = 4x^2 - 7x$ .

Flashcard 23: What is the derivative of $f(x) = x - 5$ ?

Flashcard 24: What is the derivative of $f(x) = 8x^2 + 3$ ?

Flashcard 25: What is $\frac{d}{dx}[7]$ ?

Flashcard 26: State the rule for $\frac{d}{dx}[c]$ where $c$ is a constant.

Flashcard 27: What is the result of $\frac{d}{dx}[4x^3]$ ?

Flashcard 28: State the derivative of $f(x) = 3x^2 + 2x$ .

Flashcard 29: Find the derivative of $f(x) = 5x^2$ using the constant multiple rule.

Flashcard 30: Find the derivative of $f(x) = 3 - x^3$ .

Flashcard 31: What is the derivative of $f(x) = 9x$ ?

Flashcard 32: State the derivative of $f(x) = 5x^2 + 4x$ .

Flashcard 33: Find $\frac{d}{dx}[2x^2 + 5x + 1]$ .

Flashcard 34: What is the derivative of $f(x) = 2x + 3x^2$ ?

Flashcard 35: What is the derivative of $f(x) = 4x - 4$ ?

Flashcard 36: What is $\frac{d}{dx}[7]$ ?

Flashcard 37: Find $\frac{d}{dx}[3x^3 - 4x + 5]$ .

Flashcard 38: Find the derivative of $f(x) = x^3 + x^2 + x$ .

Flashcard 39: State the derivative of $f(x) = 5x^2 + 4x$ .

Flashcard 40: What is the derivative of $f(x) = 4x^3 - 9$ ?

Flashcard 41: What is the derivative of $f(x) = 2x^2 - 3x + 1$ ?

Flashcard 42: Find the derivative of $f(x) = 7x^3$ .

Flashcard 43: What is the derivative of $f(x) = x^4 + 2x^3$ ?

Flashcard 44: What is the derivative of $f(x) = x^2 - 4x + 4$ ?

Flashcard 45: What is the derivative of $f(x) = 8x^2 + 3$ ?

Flashcard 46: State the rule for $\frac{d}{dx}[c]$ where $c$ is a constant.

Flashcard 47: State the derivative of $f(x) = 2x^2$ using the constant multiple rule.

Flashcard 48: What is the result of $\frac{d}{dx}[4x^3]$ ?

Flashcard 49: What is the derivative of $f(x) = x^4 + 2x^3$ ?

Flashcard 50: Find the derivative of $f(x) = 6$ .

Flashcard 51: State the derivative of $f(x) = 12$ .

Flashcard 52: Find the derivative of $f(x) = 9x^2 - 2x + 4$ .

Flashcard 54: Find $\frac{d}{dx}[3x^3 - 4x + 5]$ .

Flashcard 55: What is the derivative of $f(x) = 2x^2 - 3x + 1$ ?

Flashcard 56: Find the derivative of $f(x) = x^3 + x^2 + x$ .

Flashcard 57: Find the derivative of $f(x) = 10$ .

Flashcard 58: State the derivative of $f(x) = x^3 - 3x$ .

Flashcard 59: What is the derivative of $f(x) = 5x^4$ ?

Flashcard 60: What is the derivative of $f(x) = 7$ ?

Flashcard 61: What is the derivative of $f(x) = 5x^4$ ?

Flashcard 62: What is the derivative of $f(x) = 6x^2 + 7$ ?

Flashcard 63: Find the derivative of $f(x) = 7x^3$ .

Flashcard 65: State the derivative of $f(x) = 0$ .

Flashcard 66: What is the derivative of $f(x) = 3x^3 + 4x$ ?

Flashcard 67: Find the derivative of $f(x) = 10$ .

Flashcard 68: What is the derivative of $f(x) = x - 5$ ?

Flashcard 69: Find the derivative of $f(x) = 5x^2$ using the constant multiple rule.

Flashcard 70: Find $\frac{d}{dx}[2x^2 + 5x + 1]$ .

Flashcard 71: State the derivative of $f(x) = 3x^2 + 2x$ .

Flashcard 72: Find the derivative of $f(x) = 6$ .

Flashcard 73: What is the derivative of $f(x) = 4x^3 - 9$ ?

Flashcard 74: What is the derivative of $f(x) = 2x + 3x^2$ ?

Flashcard 76: Find the derivative of $f(x) = 4x^2 - 7x$ .