Answer:
[tex]Y'(t) = 0.025e^{-0.001t}[/tex]
Step-by-step explanation:
The derivative of a constant multiplied by a function is the constant multiplied by the derivative of the function.
So
[tex](a*f(x))' = a*f'(x)[/tex]
If we have an exponential function, in the following format:
[tex]f(x) = e^{ax}[/tex]
The derivative is:
[tex]f'(x) = a*e^{ax}[/tex]
In this problem, we have that:
[tex]Y(t) = 25e^{-0.001t}[/tex]
The derivative is
[tex]Y'(t) = -0.001*25e^{-0.001t} = 0.025e^{-0.001t}[/tex]
