Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 7 - Exponential Functions - 7.3 Logarithms and Their Derivatives - Exercises - Page 343: 49


$$ f'(x)=\frac{1}{x \ln 2}.$$

Work Step by Step

Recall that $(\log_b x)'=\dfrac{1}{(\ln b)x}$ Since $ f(x)=\log_2x $, then we have $$ f'(x)=\frac{1}{x \ln 2}.$$
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