Question

In Exercise, find the derivative of the function. Y = 24e-1.4t

Answer 1

Answer:

$y'=33.6e^{-1.4t}$

Step-by-step explanation:

$y = 24e^{-1.4t}$

take derivative with respect to t

$\frac{dy}{dt} =24 \frac{d(e^{-1.4t})}{dt}$

derivative of e^t is e^t

derivative of -1.4t is -1.4

$\frac{dy}{dt} =24 \frac{d(e^{-1.4t})}{dt}$

Apply chain rule

$\frac{dy}{dt} =24(e^{-1.4t})(-1.4)$

$y'=33.6e^{-1.4t}$