Q4 of 168 Page 231

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

h(x) = x3 + x2 + x +1

h(x) = x3 + x2 + x +1

⇒ h’(x) = 3x2 + 2x +1


h(x) = 0


⇒ 3x2 + 2x +1 = 0



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


Hence, function h does not have maxima or minima.


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