Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 2 - Derivatives - 2.3 Differentiation Formulas - 2.3 Exercises: 59

Answer

$f'(x)=0.005x^4-0.06x^2$ $f''(x)=0.02x^3-0.12x$

Work Step by Step

Apply power rule to the function to find the first derivate $f'(x)=0.001(5)x^{5-1}-0.02(3)x^{3-1}$ $f'(x)=0.005x^4-0.06x^2$ Apply power rule the first derivate to find the second derivate $f''(x)=0.005(4)x^{4-1}-0.06(2)x^{2-1}$ $f''(x)=0.02x^3-0.12x$
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