Q. 4 A 4.2( 13 Votes )

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

f (x) = ex

Answer :

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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RS Aggarwal - Mathematics