#### Answer

$\frac{dy}{dt}=2\ln(9)\times 9^{(2t)}$

#### Work Step by Step

$y=9^{2t}=e^{2t\times\ln(9)}$
On differentiating both sides:
$\frac{dy}{dt}=2\ln(9)\times e^{2t\times\ln(9)}$
$\frac{dy}{dt}=2\ln(9)\times 9^{(2t)}$

Published by
Pearson

ISBN 10:
0321999584

ISBN 13:
978-0-32199-958-0

$\frac{dy}{dt}=2\ln(9)\times 9^{(2t)}$

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