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Derivatives of Trig Functions

AP Calculus AB· difficulty 2/5

ddxtan⁡x=\dfrac{d}{dx}\tan x =

  • A

    −cot⁡x-\cot x

  • B

    sec⁡2x\sec^2 x

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  • C

    sec⁡x\sec x

  • D

    cot⁡x\cot x

Explanation

tan⁡=sin⁡/cos⁡\tan = \sin/\cos; quotient rule gives sec⁡2x\sec^2 x.

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