hey
i got a problem with differentiation, and im not having much luck
the question is if i have a exponential function
y=12*0.5^x
how would find y'
No.
$\displaystyle y = k \, (a^x) = k\, e^{\ln a^x} = k \, e^{x \ln a}$ which just has the form $\displaystyle y = k \, e^{bx}$. And you know how to differentiate that form, right?
So you end up with $\displaystyle \frac{dy}{dx} = k \, (\ln a) \, a^x$. Capisce?
A formula worth remembering.