Answer
$\dfrac{d}{dx}(cx^n)=c\dfrac{d}{dx}(x^n)=cnx^{n-1}$
Work Step by Step
To derivate a function multiplied by a constant, you can multiply that constant by the derivate of the function:
$\dfrac{d}{dx}(cx^n)=c\dfrac{d}{dx}(x^n)$
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 - 3.3 Rules of Differentiation - 3.3 Exercises - Page 150: 5
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