The Chain Rule

AP Calculus AB· difficulty 3/5

ddxe1/x=\dfrac{d}{dx} e^{1/x} =

  • A

    1x2e1/x\dfrac{1}{x^2} e^{1/x}

  • B

    1x2e1/x-\dfrac{1}{x^2} e^{1/x}

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  • C

    e1/x/x-e^{1/x}/x

  • D

    e1/xe^{1/x}

Explanation

e1/x(d/dx)(1/x)=e1/x(1/x2)e^{1/x} \cdot (d/dx)(1/x) = e^{1/x} \cdot (-1/x^2).

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