Question
A space curve Let $w=x^{2} e^{2 y} \cos 3 z .$ Find the value of $d w / d t$ at the point $(1, \ln 2,0)$ on the curve $x=\cos t, y=\ln (t+2)$ $z=t$
Step 1
This is given by the chain rule as: \[ \frac{dw}{dt} = \frac{\partial w}{\partial x} \frac{dx}{dt} + \frac{\partial w}{\partial y} \frac{dy}{dt} + \frac{\partial w}{\partial z} \frac{dz}{dt} \] Show more…
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