Posted by **Anonymous** on Sunday, November 3, 2013 at 1:06pm.

Find the absolute maximum and absolute minimum values of f on the given interval.

f(x) = e−x − e−7x, [0, 1]

- calculus -
**Steve**, Sunday, November 3, 2013 at 1:33pm
f = e^-x - e^-7x

f' = -e^-x + 7e^-7x

= e^-7x (7-e^6x)

f'=0 when e^6x = 7, or x = (ln7)/6

So, evaluate f at the end points and at that x, to get max and min for the interval.

To check, go to

http://rechneronline.de/function-graphs/

and enter

exp(-x) - exp(-7x)

for the function.

Set the x,y intervals to be 0 to 1

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