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Math Help - the chain rule

  1. #1
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    Post the chain rule

    I have 2 questions

    1) y=sin(x^2) = 2X cos(x^2)

    which i sort of understand but not shure how to do

    2) y= (sinx)^2 cn someone explain the answer ?
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    It's like when differentiating x^n, in this case our x is \sin x, hence, we require to apply the chain rule (actually, when one differentiates x^n is applyin' the chain rule, it's just that (x)'=1), hence y'=2\sin(x)\cdot(\sin x)'.
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