Answer
$sec^{2}$y
Work Step by Step
(tan y)' = $\lim\limits_{x \to 0}$ $\frac{tan(x+y)-tany}{x}$
This means that the limit will equal the derivative of tan y which is equal to s$ec^{2}$y
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 2 - The Derivative - 2.5 Derivatives of Trigonometric Functions - Exercises Set 2.5 - Page 152: 48
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