Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 2 - The Derivative - 2.4 The Product And Quotient Rules - Exercises Set 2.4 - Page 147: 20

Answer

f′(x) = 8x(x^2+)^3

Work Step by Step

f(x) = (x^2 +1)^4 f′(x) = (x^2 +1)^4 d/dx f′(x) = 4 (x^2 +1)^3 d/dx (x^2+1) f′(x) = 4 (x^2 +1)^3 (2x) f′(x) = 8x (x^2 +1)^3
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