#### Answer

$\frac{dy}{dx} =5^{3t}ln(5)\times3$

#### Work Step by Step

If $f(x) = b^x$, then $f'(x) = b^xln(b)$
$y = 5^{3t}$
Chain Rule:
$\frac{dy}{dx} =5^{3t}ln(5)\times3$

Published by
Pearson

ISBN 10:
0321947347

ISBN 13:
978-0-32194-734-5

$\frac{dy}{dx} =5^{3t}ln(5)\times3$

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