Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - 2.1 Exercises - Page 104: 51

Answer

$f = -x^{2} $ $c = 6$

Work Step by Step

We have that $f'(c) = \lim\limits_{x \to 6}$ $\frac{-x^{2} + 36 }{x - 6}$. Taken the original formula $f'(c) = \lim\limits_{x \to c}$ $\frac{f(x) - f(c)}{x - c}$, we can conclude that $f = -x^2$ and $c = 6$
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