Question
Use an appropriate form of the chain rule to find $d w / d t$.$$w=5 \cos x y-\sin x z ; x=1 / t, y=t, z=t^{3}$$
Step 1
Using the chain rule, we have: \begin{align*} \frac{d w}{d x} &= -5y \sin(xy) - z \cos(xz) \\ \frac{d w}{d y} &= -5x \sin(xy) \\ \frac{d w}{d z} &= -x \cos(xz) \end{align*} Show more…
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Use an appropriate form of the chain rule to find dw/dt. $$ w=5 x^{2} y^{3} z^{4} ; x=t^{2}, y=t^{3}, z=t^{5} $$
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