Question

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

Answer 1

`y'=33.6e^(-1.4t)`

Explanation:

`y = 24e^(-1.4t)`

take derivative with respect to t

`(dy)/(dt) =24 (d(e^(-1.4t)))/(dt)`

derivative of e^t is e^t

derivative of -1.4t is -1.4

`(dy)/(dt) =24 (d(e^(-1.4t)))/(dt)`

Apply chain rule

`(dy)/(dt) =24(e^(-1.4t))(-1.4)`

`y'=33.6e^(-1.4t)`