Prove that the following functions do not have maxima or minima:

f (x) = ex

f (x) = ex

f’(x) = ex


Now, if f’(x) = 0, then ex = 0.


But, the exponential function can never assume 0 for any value of x.


Therefore, there does not exist c ϵ R such that f’(c) = 0


Hence, function f does not have maxima or minima.


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