Question

In Exercise, find the derivative of the function.
y = 18e0.072t

Answer 1

Explanation:

y = 18e^0.072t

y' = 18(0.072)*e0.072t = 1.29*e0.072t

Answer 2

`\displaystyle(dy)/(dt) = 1.296e^(0.072t)`

Explanation:

We are given the following in the question:

`y = 18e^(0.072t)`

We have to find the derivative of the function

The derivative can be done in the following manner:

`\displaystyle(dy)/(dt) = (d( 18e^(0.072t)))/(dt)\\\\=18 e^(0.072t)* 0.072\\\\=1.296e^(0.072t)`

Formula:

`\displaystyle(d(e^(ax)))/(dx) = ae^(ax)`