Answer
$f'(x) = 2x-\frac{2}{x^3}$
Work Step by Step
$f(x) = (1+\frac{1}{x^2})(x^2+1) = x^2+1+1+\frac{1}{x^2} = x^2+2+x^{-2}$
$f'(x) = 2x-2x^{-3} = 2x-\frac{2}{x^3}$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 3 - Derivatives - 3.4 The Product and Quotient Rules - 3.4 Exercises - Page 160: 12
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