AP Calculus ABeasymcq1 pt

If f(x)=x5f(x)=x^5, then f(x)=f'(x)=

A.x4x^4
B.5x45x^4
C.4x54x^5
D.5x55x^5

Explanation

Core Concept

By the power rule, multiply by the exponent and reduce it by one: ddx[x5]=5x4\dfrac{d}{dx}[x^5]=5x^{4}. The derivative of xnx^n is nxn1nx^{n-1}.

Correct Answer

B5x45x^4

More Unit 2: Differentiation: Definition and Basic Derivative Rules practice questions

Try a random question →

Practice more AP Calculus AB questions with full explanations

Practice Unit 2: Differentiation: Definition and Basic Derivative Rules Questions →