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Applying the Power Rule

AP Calculus AB· difficulty 2/5

If f(x)=1/x2f(x) = 1/x^2, then f′(x)=f'(x) =

  • A

    2/x32/x^3

  • B

    −1/x3-1/x^3

  • C

    1/(2x)1/(2x)

  • D

    −2/x3-2/x^3

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Explanation

1/x2=x−21/x^2 = x^{-2}. f′(x)=−2x−3=−2/x3f'(x) = -2 x^{-3} = -2/x^3.

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