Answer
$f'(x)=\frac{-27}{x^{10}}$
Work Step by Step
$f(x) = 3x^{-9}$
Power rule: $f'(x) = 3(-9)x^{(-9-1)} = \frac{-27}{x^{10}}$
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: 37
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