Calculus, 10th Edition (Anton)

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: 5

Answer

$$F(g(x),h(y))=x^3e^{3x^3y+x^3}$$

Work Step by Step

In $F(x,y)$ for the first argument use $g(x)=x^3$ and for the second use $h(y)=3y+1$: $$F(g(x),h(y))=F(x^3,3y+1)=x^3e^{x^3\cdot(3y+1)}=x^3e^{3x^3y+x^3}$$
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