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Math Help - Implicit differentiation

  1. #1
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    Implicit differentiation

    Hi,

    Q1. Find derivative of cos(x+y) + y = 0

    could anyone give me steps and the answer for this please?

    thanks,

    moon
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  2. #2
    Moo
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    Quote Originally Posted by Moon Hoplite View Post
    Hi,

    Q1. Find derivative of cos(x+y) + y = 0

    could anyone give me steps and the answer for this please?

    thanks,

    moon
    If y is a function of x, then :
    \cos(x+y) has to be differentiated following the chain rule.
    [\cos(u(x))]'=-u'(x) \sin(u(x))

    So the derivative of \cos(x+y)=-(1+y') \sin(x+y)


    So the derivative of \cos(x+y)+y=0 is -(1+y')\sin(x+y)+y'=0
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