## Calculus: Early Transcendentals 8th Edition

$\frac{1}{4}t^{-3/4}-4e^t$
$t^{1/4}-4e^t$ Differentiate using the power and constant multiple rule. Keep the constant, bring down the original power (n), and multiply by $t^{n−1}$. Keep in mind that the derivative of $e^t$ is $e^t$.