Question

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.

Answer 1

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