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The Chain Rule

AP Calculus AB· difficulty 3/5

ddxsin⁡(cos⁡x)=\dfrac{d}{dx}\sin(\cos x) =

  • A

    cos⁡(cos⁡x)\cos(\cos x)

  • B

    sin⁡(−sin⁡x)\sin(-\sin x)

  • C

    −sin⁡xcos⁡(cos⁡x)-\sin x \cos(\cos x)

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  • D

    cos⁡x⋅sin⁡(cos⁡x)\cos x \cdot \sin(\cos x)

Explanation

Chain: cos⁡(cos⁡x)⋅(−sin⁡x)\cos(\cos x) \cdot (-\sin x).

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