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The Chain Rule

AP Calculus AB· difficulty 3/5

ddxsin⁡(e2x)=\dfrac{d}{dx}\sin(e^{2x}) =

  • A

    cos⁡(e2x)\cos(e^{2x})

  • B

    2cos⁡(e2x)2 \cos(e^{2x})

  • C

    2e2xcos⁡(e2x)2e^{2x} \cos(e^{2x})

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  • D

    e2xcos⁡(e2x)e^{2x} \cos(e^{2x})

Explanation

Outer: cos⁡(e2x)\cos(e^{2x}). Inner: e2x⋅2e^{2x} \cdot 2. Product: 2e2xcos⁡(e2x)2 e^{2x} \cos(e^{2x}).

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