The Chain Rule

AP Calculus AB· difficulty 3/5

ddxecos(2x)=\dfrac{d}{dx} e^{\cos(2x)} =

  • A

    sin(2x)ecos(2x)-\sin(2x) e^{\cos(2x)}

  • B

    2sin(2x)ecos(2x)-2\sin(2x) e^{\cos(2x)}

    check_circle
  • C

    ecos(2x)e^{\cos(2x)}

  • D

    cos(2x)ecos(2x)\cos(2x) e^{\cos(2x)}

Explanation

ecos(2x)(sin(2x))2=2sin(2x)ecos(2x)e^{\cos(2x)} \cdot (-\sin(2x)) \cdot 2 = -2\sin(2x) e^{\cos(2x)}.

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