well, (e^−x)*(−e^−6x) = -e^-7x
as you know exponentials have no local max/min, so the extrema are at the ends of the interval.
That should pose no difficulty, if you sketch the graph.
Find the absolute maximum and absolute minimum values of f on the given interval.
f(x) = (e^−x)*(− e^−6x), [0, 1]
4 answers
That's not the derivative of the function tho Steve.
well, the derivative is 7e^-7x
where is that zero?
where is that zero?
no the derivative is not 7e^-7x
when the function is e^-x-e^-6x
when the function is e^-x-e^-6x