Question

In Exercise, find the derivative of the function.
Y = 25e-0.001t

Answer 1

`Y'(t) = 0.025e^(-0.001t)`

Explanation:

The derivative of a constant multiplied by a function is the constant multiplied by the derivative of the function.

So

`(a*f(x))' = a*f'(x)`

If we have an exponential function, in the following format:

`f(x) = e^(ax)`

The derivative is:

`f'(x) = a*e^(ax)`

In this problem, we have that:

`Y(t) = 25e^(-0.001t)`

The derivative is

`Y'(t) = -0.001*25e^(-0.001t) = 0.025e^(-0.001t)`