AP Calculus ABeasymcq1 pt

If f(x)=(5x3)4f(x)=(5x^3)^4, then f(x)=f'(x)=

A.4(5x3)34(5x^3)^3
B.20(5x3)320(5x^3)^3
C.60x2(5x3)360x^2(5x^3)^3
D.60(5x3)360(5x^3)^3

Explanation

Core Concept

The power rule gives 4(5x3)34(5x^3)^3, and the inner derivative of 5x35x^3 is 15x215x^2. Multiply to get 60x2(5x3)360x^2(5x^3)^3.

Correct Answer

C60x2(5x3)360x^2(5x^3)^3

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