Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 14: Partial Derivatives - Practice Exercises - Page 864: 19


$g_r=cosθ+sinθ$ $g_θ=-rsinθ+rcosθ$

Work Step by Step

Take the first partial derivatives of the given function. When taking partial derivative with respect to r, treat $θ$ as a constant, and vice versa: $g_r=(1)cosθ+(1)sinθ=cosθ+sinθ$ $g_θ=-rsinθ+rcosθ$
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