In Exercises 39 and 40, find and (a) by using the

Chapter 13, Problem 39

(choose chapter or problem)

In Exercises 39 and 40, find  \(\partial w / \partial r\)  and  \(\partial w / \partial t\)  (a) by using the appropriate Chain Rule and (b) by converting w to a function of r and t before differentiating.

\(w=\frac{x y}{z}, \quad x=2 r+t, \quad y=r t, \quad z=2 r-t\)

Text Transcription:

partial w / partial r

partial w / partial t

w = xy / z,     x = 2r + t,    y = rt,     z = 2r - t

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