question_answer 1)

Prove that following functions do not have maximu or minima. (I) f(x) = ex (II) g(x) = log x (III) h(x) = x3 + x2 + x + 1  

Answer:

. f(x) = ex                                     Since f?(x)              have no maxima or minima. II.     g(x) = log x       g(x) is defined if x > 0       Now g?(x) =             Therefore g(x) have no maxima or minima III.   h(x) = x3 + x2 + x + 1                               Since                            Therefore h(x) have no maxima or minima.