Answer
$f(x)=x^{6},a=2$
Work Step by Step
$$\lim_{h \to 0}\frac{(2+h)^{6}-2^{6}}{h}=f'(2)$$
From the definition of the derivative of $f$ at a point it follows:
$$a+h=2+h;f(2)=2^{6}$$
$$a=2;f(a)=a^{6}$$
so:
$$f(x)=x^{6},a=2$$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 2 - Derivatives - Review - Exercises - Page 196: 6
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