Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 3 - Derivatives - 3.9 Derivatives of Logarithmic and Exponential Functions - 3.9 Exercises: 24

Answer

$\frac{dy}{dx} =5^{3t}ln(5)\times3$

Work Step by Step

If $f(x) = b^x$, then $f'(x) = b^xln(b)$ $y = 5^{3t}$ Chain Rule: $\frac{dy}{dx} =5^{3t}ln(5)\times3$
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