Answer
$f(x)=cos(x), a=\pi$
Work Step by Step
Let $f(x)=cos(x)$, we have:
$$f'(\pi)=\lim_{h\to 0}\frac{cos(\pi+h)-cos(\pi)}{h}=\lim_{h\to 0}\frac{cos(\pi+h)+1}{h}$$
Thus we have $f(x)=cos(x), a=\pi$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 13 - Section 13.3 - Tangent Lines and Derivatives - 13.3 Exercises - Page 922: 36
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