Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 2 - The Derivative - 2.3 Introduction To Techniques Of Differentiation - Exercises Set 2.3 - Page 140: 39

Answer

$ y = 5x + 17$

Work Step by Step

Equation for tangent line to $f$ at $x=a$: $y - f(a) = f'(a)(x-a)$ So, if $a = -3, f(a) = f(-3) = 2$, and $f'(a) = f'(-3) = 5$, then $y - 2 = 5(x-(-3)) \iff y = 5x + 17$ is the tangent line to $f$ at $x=-3$.
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