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: 30

Answer

$\frac{dy}{dx} = \ln(10)$

Work Step by Step

If $f(x) = b^x$, then $f'(x) = b^x\ln(b)$ $y = \ln(10^x) $ Chain Rule: $\frac{dy}{dx} = (10^x)(\ln(10))(\frac{1}{10^x}) = \ln(10)$
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