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Thread: multivariable chain rule

  1. March 3rd 2008, 05:36 PM #1
    crwhd4
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    multivariable chain rule

    given w=(x^2+y^2+z^2)^1/2 where x=3e^t(sin(s)), y=3e^t(cos(s)) and z=4e^t, find dw/dt by the multivariable chain rule
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  2. March 3rd 2008, 06:03 PM #2
    Jhevon
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    Quote Originally Posted by crwhd4 View Post
    given w=(x^2+y^2+z^2)^1/2 where x=3e^t(sin(s)), y=3e^t(cos(s)) and z=4e^t, find dw/dt by the multivariable chain rule
    \frac {\partial w}{\partial t} = \frac {\partial w}{\partial x} \cdot \frac {\partial x}{\partial t} + \frac {\partial w}{\partial y} \cdot \frac {\partial y}{\partial t} + \frac {\partial w}{\partial z} \cdot \frac {\partial z}{\partial t}
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