Gday, Just need a hand to find the derivative for the following equation. I have no idea what steps I need to go through to get it. Thanks in advance.

S(t) = 20000(1 + e^(-0.5t))

\frac{d}{dx} e^{a x} = a e^{ax}

That doesn't help.

That is a bad sign.
Wiki derivatives for some summary sheets

S[t] = 20000 + 20000 e^(-0.5t)
ds/dt = -10000 e^(-0.5t)

note; the derivative of a constant is zero


Edit in correction.

That doesn't help.

I'm sorry---you should have made your original request more clear. You didn't want HELP, you wanted someone to do it for you.