Derivatives - Math

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Question

Find the second derivative of f(x).

$f(x)=\frac{1}{4}$ $e^{2x}$-cosx$

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Answer

First we should find the first derivative of . Remember the derivative of is and the derivative of is :

The second derivative is just the derivative of the first derivative:

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Question

Find the derivative of the function

.

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Answer

We can use the Chain Rule:

Let , so that .

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Question

Find the second derivative of f(x).

$f(x)=\frac{1}{4}$ $e^{2x}$-cosx$

Tap to reveal answer

Answer

First we should find the first derivative of . Remember the derivative of is and the derivative of is :

The second derivative is just the derivative of the first derivative:

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Question

Find the derivative of the function

.

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Answer

We can use the Chain Rule:

Let , so that .

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Question

Evaluate the following limit:

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Answer

When approaches 0 both and will approach . Therefore, L’Hopital’s Rule can be applied here. Take the derivatives of the numerator and denominator and try the limit again:

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Question

Find the second derivative of f(x).

$f(x)=\frac{1}{4}$ $e^{2x}$-cosx$

Tap to reveal answer

Answer

First we should find the first derivative of . Remember the derivative of is and the derivative of is :

The second derivative is just the derivative of the first derivative:

← Didn't Know|Knew It →

Question

Find the derivative of the function

.

Tap to reveal answer

Answer

We can use the Chain Rule:

Let , so that .

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Question

Evaluate the following limit:

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Answer

When approaches 0 both and will approach . Therefore, L’Hopital’s Rule can be applied here. Take the derivatives of the numerator and denominator and try the limit again:

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Question

Evaluate the following limit:

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Answer

When approaches 0 both and will approach . Therefore, L’Hopital’s Rule can be applied here. Take the derivatives of the numerator and denominator and try the limit again:

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Question

Evaluate the following limit:

Tap to reveal answer

Answer

When approaches 0 both and will approach . Therefore, L’Hopital’s Rule can be applied here. Take the derivatives of the numerator and denominator and try the limit again:

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Question

Find the second derivative of f(x).

$f(x)=\frac{1}{4}$ $e^{2x}$-cosx$

Tap to reveal answer

Answer

First we should find the first derivative of . Remember the derivative of is and the derivative of is :

The second derivative is just the derivative of the first derivative:

← Didn't Know|Knew It →

Question

Find the derivative of the function

.

Tap to reveal answer

Answer

We can use the Chain Rule:

Let , so that .

← Didn't Know|Knew It →

Knew It

Derivatives - Math

Find the second derivative of f(x).

First we should find the first derivative of . Remember the derivative of is and the derivative of is : The second derivative is just the derivative of the first derivative:

Find the derivative of the function .

We can use the Chain Rule: Let , so that .

Find the second derivative of f(x).

First we should find the first derivative of . Remember the derivative of is and the derivative of is : The second derivative is just the derivative of the first derivative:

Find the derivative of the function .

We can use the Chain Rule: Let , so that .

Evaluate the following limit:

When approaches 0 both and will approach . Therefore, L’Hopital’s Rule can be applied here. Take the derivatives of the numerator and denominator and try the limit again:

Find the second derivative of f(x).

First we should find the first derivative of . Remember the derivative of is and the derivative of is : The second derivative is just the derivative of the first derivative:

Find the derivative of the function .

We can use the Chain Rule: Let , so that .

Evaluate the following limit:

When approaches 0 both and will approach . Therefore, L’Hopital’s Rule can be applied here. Take the derivatives of the numerator and denominator and try the limit again:

Evaluate the following limit:

When approaches 0 both and will approach . Therefore, L’Hopital’s Rule can be applied here. Take the derivatives of the numerator and denominator and try the limit again:

Evaluate the following limit:

When approaches 0 both and will approach . Therefore, L’Hopital’s Rule can be applied here. Take the derivatives of the numerator and denominator and try the limit again:

Find the second derivative of f(x).

First we should find the first derivative of . Remember the derivative of is and the derivative of is : The second derivative is just the derivative of the first derivative:

Find the derivative of the function .

We can use the Chain Rule: Let , so that .

Find the second derivative of f(x).

$f(x)=\frac{1}{4}$ $e^{2x}$-cosx$

First we should find the first derivative of . Remember the derivative of is and the derivative of is :

The second derivative is just the derivative of the first derivative:

Find the derivative of the function

.

We can use the Chain Rule:

Let , so that .

Find the second derivative of f(x).

$f(x)=\frac{1}{4}$ $e^{2x}$-cosx$

First we should find the first derivative of . Remember the derivative of is and the derivative of is :

The second derivative is just the derivative of the first derivative:

Find the derivative of the function

.

We can use the Chain Rule:

Let , so that .

Find the second derivative of f(x).

$f(x)=\frac{1}{4}$ $e^{2x}$-cosx$

First we should find the first derivative of . Remember the derivative of is and the derivative of is :

The second derivative is just the derivative of the first derivative:

Find the derivative of the function

.

We can use the Chain Rule:

Let , so that .

Find the second derivative of f(x).

$f(x)=\frac{1}{4}$ $e^{2x}$-cosx$

First we should find the first derivative of . Remember the derivative of is and the derivative of is :

The second derivative is just the derivative of the first derivative:

Find the derivative of the function

.

We can use the Chain Rule:

Let , so that .