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calculus

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Find the absolute maximum and absolute minimum values of f on the given interval.
f(x) = e−x − e−7x, [0, 1]

  • calculus -

    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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