Calculus: Early Transcendentals (2nd Edition)

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: 5

Answer

For all real numbers $k$, $y' = ke^{kx}$

Work Step by Step

Because $\frac{d}{dx}e^x = e^x$, any real number ($k$) in front of the $x$ becomes a coefficient, since $\frac{d}{dx}kx = k$.
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