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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Originally Posted by iwonder 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: $\displaystyle \frac {dw}{dt} = \frac { \partial w}{ \partial x} \cdot \frac {dx}{dt} + \frac { \partial w}{\partial y} \cdot \frac {dy}{dt} + \frac { \partial w}{\partial z} \cdot \frac {dz}{dt}$
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