AP Calculus ABhardmcq1 pt

Let y=(4x37)8y = (4x^3 - 7)^8. What is dydx\frac{dy}{dx}?

A.96x2(4x37)796x^2(4x^3 - 7)^7
B.8(12x2)78(12x^2)^7
C.8(4x37)78(4x^3 - 7)^7
D.96x2(4x37)896x^2(4x^3 - 7)^8

Explanation

Core Concept

Using the chain rule, multiply the derivative of the outer function evaluated at the inner function, 8(4x37)78(4x^3 - 7)^7, by the derivative of the inner function, 12x212x^2.

Correct Answer

A96x2(4x37)796x^2(4x^3 - 7)^7

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