I solved a differential equation and got the function $Q=\frac{t}{2}e^{-\frac{t}{20}}$. I am being asked to then find the point in which the value is at its maximum. One solution approach I can think of is taking the derivative of this function and finding where it is equal to zero, and then plugging those values to see which is the largest.
I am curious if there is a better approach to this problem, while the derivative is rather trivial to find, it seems like a better approach might exist.