Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 6 - Inverse Functions - 6.4* General Logarithmic and Exponential Functions - 6.4* Exercise: 27

Answer

$-\frac{C4^{\frac{C}{x}} ln 4}{x^{2}}$

Work Step by Step

$\frac{d}{dx}G(x)=\frac{d}{dx}4^{\frac{C}{x}}$ $=4^{\frac{C}{x}} ln 4 \frac{d}{dx}(\frac{C}{x})$ $=-4^{\frac{C}{x}} ln 4 C(\frac{1}{x^{2}})$ $=-\frac{C4^{\frac{C}{x}} ln 4}{x^{2}}$
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