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Math Help - find the derivative with arctan

  1. #1
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    find the derivative with arctan

    compute the first derivative
    y=1+arctan(4-5x)

    seems easy but i forgot how to find the derivative for arctan so please help
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  2. #2
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    Quote Originally Posted by calculusphobe View Post
    compute the first derivative
    y=1+arctan(4-5x)

    seems easy but i forgot how to find the derivative for arctan so please help
    The cure for forgetfullness in this instance is to go to your classnotes, textbook or use Google.
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  3. #3
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    Just in case you don't have this picture in your notes...



    ... where



    ... is the chain rule. Straight continuous lines differentiate downwards (integrate up) with respect to the present variable (x or theta), and the straight dashed line similarly but with respect to the dashed balloon expression (the inner function of the composite which is subject to the chain rule).

    The general drift...


    Spoiler:

    _________________________________________
    Don't integrate - balloontegrate!

    Balloon Calculus; standard integrals, derivatives and methods

    Balloon Calculus Drawing with LaTeX and Asymptote!
    Last edited by tom@ballooncalculus; August 17th 2010 at 02:07 AM. Reason: pic address
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