Firstly, I don't really want the answer to this question, more of a nudge in the right direction.
The question is:
Find the maximum value of
g(t) = t*e^(-3t)
So I know that a maximum value occurs at one of the critical points (end points or when g'(t) = 0 (since the domain is not given, I'm assuming (-infinity, infinity) and therefore will not both with the endpoints)).
I get g'(t) = e^(-3t) * (1 - 3t) OR g'(t) = e^(-3t) - 3t*e^(-3t) (same thing).
At this point you solve for the equation equaling 0, but I'm not sure how to go about doing this (I suppose this was more of a logarithm question than a calculus question...)
Thanks in advance, any help is much appreciated.
The question is:
Find the maximum value of
g(t) = t*e^(-3t)
So I know that a maximum value occurs at one of the critical points (end points or when g'(t) = 0 (since the domain is not given, I'm assuming (-infinity, infinity) and therefore will not both with the endpoints)).
I get g'(t) = e^(-3t) * (1 - 3t) OR g'(t) = e^(-3t) - 3t*e^(-3t) (same thing).
At this point you solve for the equation equaling 0, but I'm not sure how to go about doing this (I suppose this was more of a logarithm question than a calculus question...)
Thanks in advance, any help is much appreciated.