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Math Help - Partial Derivative

  1. #1
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    Partial Derivative

    Ive got these two questions, and im not too sure how to solve them.. Any help would be appreciated.. Thanks in Advance.

    Find \frac{\partial w}{\partial x} and \frac{\partial w}{\partial y} for

    w = ucosv, u = x^2 + y^3 and v = x^3 y^2
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  2. #2
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by brd_7 View Post
    Ive got these two questions, and im not too sure how to solve them.. Any help would be appreciated.. Thanks in Advance.

    Find \frac{\partial w}{\partial x} and \frac{\partial w}{\partial y} for

    w = ucosv, u = x^2 + y^3 and v = x^3 y^2

    \frac{\partial w}{\partial x} = \frac{\partial w}{\partial u}\frac{\partial u}{\partial x} + \frac{\partial w}{\partial v}\frac{\partial v}{\partial x} = (\cos v)(2x) + -u (\sin v)3x^2y^2.. substitute the values of u and v..

    do for the second one..

    \frac{\partial w}{\partial y} = \frac{\partial w}{\partial u}\frac{\partial u}{\partial y} + \frac{\partial w}{\partial v}\frac{\partial v}{\partial y}
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