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Thread: Hyperbolic functions

  1. February 13th 2008, 01:46 PM #1
    cowboys111
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    Hyperbolic functions

    Hi i am trying to take the derivative of a hyperbolic function but i can not figure out what to use for my u subsitution, the function is:
    sqrt(4x+cosh^2(5x))
    can someone please help me start this problem?
    Thanks!!
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  2. February 13th 2008, 01:57 PM #2
    Plato
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    Quote Originally Posted by cowboys111 View Post
    the derivative of a hyperbolic function but i can not figure out what to use for my u subsitution, the function is: sqrt(4x+cosh^2(5x))
    Why would you want to use u-subsitution?
    Use the chain rule.
    \frac{{\rm{d}}}{{{\rm{dx}}}}\left[ {\cosh ^n \left( {f(x)} \right)} \right] = n\cosh ^{n - 1} \left( {f(x)} \right)\sinh \left( {f(x)} \right)f'(x)<br />
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  3. February 13th 2008, 02:03 PM #3
    cowboys111
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    ok thank you
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