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Math Help - Derivative of sec(cosx)

  1. #1
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    Derivative of sec(cosx)

    \displaystyle \frac{d}{dx} \sec ( \cos x ) =

    What am I doing wrong here?
    f(x)=sec(U)
    f'(x)='sec(U)*'U
    f'(x)= \displaystyle{\sec\!\left(x\right)\tan\!\left(x\ri  ght)\cos\!\left(x\right)\!\left(-\left(\sin\!\left(x\right)\right)\right)}
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    second line...

    f'(x)=sec(U)tan(U)*dU/dx

    U=cos(x)

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