Answer
$$g(u(x,y),v(x,y))=\pi xy\sin(\pi x^5y^7)$$
Work Step by Step
$$g(u(x,y),v(x,y))=g(x^2y^3,\pi xy)=\pi xy\sin((x^2y^3)^2\pi xy)=
\pi xy\sin(\pi x^5y^7)$$
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 13 - Partial Derivatives - 13.1 Functions Of Two Or More Variables - Exercises Set 13.1 - Page 914: 6
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