Answer
$f'(x)=25x^4+39x^2-6$
Work Step by Step
$f(x)=(5x^2-2)(x^3+3x)$
Use the product rule.
$f'(x)=(5x^2-2)(3x^2+3)+(x^3+3x)(10x)$
Distribute.
$f'(x)=15x^4+15x^2-6x^2-6+10x^4+30x^2$
Combine like terms.
$f'(x)=25x^4+39x^2-6$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 2 - Derivatives - 2.3 Differentiation Formulas - 2.3 Exercises - Page 140: 25
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