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: 6

Answer

$tanx^{(secx)}=e^{secx ln(tanx)}$

Work Step by Step

As we know that $e^{lnx}=x$ Take exponent to the given term $tanx^{(secx)}$. $tanx^{(secx)}=e^{ln (tanx)^{(secx)}}$ Since, $logx^{y}=xlogy$ Hence, $tanx^{(secx)}=e^{secx ln(tanx)}$
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