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AP Calculus AB

AP Calculus AB Question of the Day

Practice AP Calculus AB with the production-style question-of-the-day selection for this public URL.

Question 1

What is the second derivative of ?

Explanation: To find the second derivative, first we need to find the first derivative. To do that, we can use the power rule. To use the power rule, we lower the exponent on the variable and multiply by that exponent. We're going to treat as since anything to the zero power is one. Notice that since anything times zero is zero. Just like it was mentioned earlier, anything to the zero power is one. Now we repeat the process using as our expression. Like before, anything times zero is zero. Anything to the zero power is one.