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Differentiating Inverse Trig Functions

AP Calculus AB· difficulty 2/5

ddxarccos⁡x=\dfrac{d}{dx}\arccos x =

  • A

    11+x2\dfrac{1}{1+x^2}

  • B

    −11−x2\dfrac{-1}{\sqrt{1-x^2}}

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  • C

    11−x2\dfrac{1}{\sqrt{1-x^2}}

  • D

    −11+x2\dfrac{-1}{1+x^2}

Explanation

Standard derivative — note the negative sign.

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