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Math Help - derivatives

  1. #1
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    derivatives

    w=(x/y)+(y/z)
    x=e^4t
    y=2+sin(t)
    z=2+cos(5t)
    how to find dw/dt in terms of xyz?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by iwonder View Post
    w=(x/y)+(y/z)
    x=e^4t
    y=2+sin(t)
    z=2+cos(5t)
    how to find dw/dt in terms of xyz?
    by the chain rule: \frac {dw}{dt} = \frac { \partial w}{ \partial x} \cdot \frac {dx}{dt} + \frac { \partial w}{\partial y} \cdot \frac {dy}{dt} + \frac { \partial w}{\partial z} \cdot \frac {dz}{dt}
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