Calculus (3rd Edition)

Published by W. H. Freeman

Chapter 7 - Exponential Functions - 7.3 Logarithms and Their Derivatives - Preliminary Questions - Page 342: 7

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 $$m=4^0 \ln 4=\ln 4$$

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