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

MATHEMATICS · Multi-part · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

4. Prove that the following functions do not have maxima or minima: (i)

f(x)=e^{x}

(ii)

g(x)=\log x

(iii)

h(x)=x^{3}+x^{2}+x+1