Answer
$$ m=4^0 \ln 4=\ln 4$$
Work Step by Step
Since $ y=4^x $, then $ y'=4^x \ln 4$ and hence the slope of $ y $ at $ x=0$ is $$ m=4^0 \ln 4=\ln 4$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
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 - Preliminary Questions - Page 342: 7
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