The Chain Rule

AP Calculus AB· difficulty 3/5

x f(g(x))

By chain rule, ddx[f(g(x))]\dfrac{d}{dx}[f(g(x))] equals:

  • A

    f(g(x))f'(g'(x))

  • B

    f(g(x))f(g'(x))

  • C

    f(g(x))g(x)f'(g(x)) \cdot g'(x)

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  • D

    f(x)g(x)f'(x) \cdot g'(x)

Explanation

Chain rule: derivative of outer evaluated at inner, times derivative of inner.

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