Thomas' Calculus 13th Edition

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

Chapter 14: Partial Derivatives - Section 14.3 - Partial Derivatives - Exercises 14.3 - Page 807: 35


$f_t=-sin(2πt-α)\times 2π$ $f_α=sin(2πt-α)$

Work Step by Step

Take the first partial derivatives of the given function. When taking a partial derivative with respect to t, treat $α$ as a constant, and vice versa: $f_t=-sin(2πt-α)\times 2π$ $f_α=-sin(2πt-α)\times -1=sin(2πt-α)$
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