Question

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

Answer 1

Answer:

$Y'(t) = 0.025e^{-0.001t}$

Step-by-step 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

$Y'(t) = -0.001*25e^{-0.001t} = 0.025e^{-0.001t}$