Q. 4 C3.8( 11 Votes )

# 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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