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AP Calculus BC/Unit 2: Differentiation: Definition and Fundamental Properties
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Power Rule for Differentiation

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For the function f(x)=2∗x5−3∗x3+x2−4∗x+9f(x)=2*x^5-3*x^3+ x^2-4*x+9, determine the derivative by applying the power rule term-by-term. Without using a calculator, select the equation that correctly represents f′(x)f'(x).

A

f′(x)=10∗x4−9∗x2+2∗x−4f'(x)=10*x^4-9*x^2+2*x-4

B

f′(x)=10∗x4−9∗x2+2∗x+9f'(x)=10*x^4-9*x^2+2*x+9

C

f′(x)=10∗x4−9∗x2+x−4f'(x)=10*x^4-9*x^2+ x-4

D

f′(x)=2∗x5−3∗x3+2∗x−4f'(x)=2*x^5-3*x^3+2*x-4

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