calculus

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f(x)=e^x-x
(a) at what x-values does f have relative extrema?
(b) find the exact value of -1 to 1 on an interval f(x)dx.
(c) show that f does not have any inflection points.

  • calculus -

    f'(x) = e^x - 1
    = 0 for extrema of the function
    e^x = 1
    x = 0

    b) ??

    c) for points of inflection, f''(x) = 0
    f''(x) = e^x
    e^x = 0
    has no solution.

    look at the graph of y = e^x, it never touches the x-axis

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