Applying the Power Rule

AP Calculus AB· difficulty 2/5

ddx(x2/3)=\dfrac{d}{dx}\bigl(x^{2/3}\bigr) =

  • A

    23x1/3\tfrac{2}{3} x^{1/3}

  • B

    32x1/3\tfrac{3}{2} x^{1/3}

  • C

    32x1/3\tfrac{3}{2} x^{-1/3}

  • D

    23x1/3\tfrac{2}{3} x^{-1/3}

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Explanation

Power rule: 23x2/31=23x1/3\tfrac{2}{3} x^{2/3 - 1} = \tfrac{2}{3} x^{-1/3}.

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