Precalculus: Mathematics for Calculus, 7th Edition

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: 34

Answer

$f(x)=2^x, a=5$

Work Step by Step

As $32=2^5$, let $f(x)=2^x$, we have: $$f'(5)=\lim_{x\to 5}\frac{2^x-2^5}{x-5}=\lim_{x\to 5}\frac{2^x-32}{x-5}$$ Thus we have $f(x)=2^x, a=5$
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