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Math Help - Chain Rule

  1. #1
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    Chain Rule

    Find dy/dx.

    y= sin^5 x - cos^3 x
    The exponent 5 is negative. I don't know the LaTex.

    I understand the chain rule. I do not understand how to do this.
    Which function is outer f(x) and which is inner g(x)?


    Thanks!
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Truthbetold View Post
    Find dy/dx.

    y= sin^5 x - cos^3 x
    The exponent 5 is negative. I don't know the LaTex.

    I understand the chain rule. I do not understand how to do this.
    Which function is outer f(x) and which is inner g(x)?


    Thanks!
    \sin^{-5} x - \cos^3 x = ( \sin^{-1} x)^5 + (\cos x )^3

    do you see the inner and outer functions now?
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  3. #3
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    Won't the derivative of -5 equal 0?
    Constant rule.

    That doesn't make much sense, though. Something's wrong.

    What do you do for this?

    Thanks!
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Truthbetold View Post
    Won't the derivative of -5 equal 0?
    Constant rule.

    That doesn't make much sense, though. Something's wrong.

    What do you do for this?

    Thanks!
    the derivative of a constant is zero. where do you see a constant here? 5 is a power, for all intents and purposes, it is a part of the sine function we are dealing with. if it was just a 5 by itself, then yes, it goes to zero, that is not the case here. use the chain rule (with the power rule)
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