Mathematics : Application of Derivatives

Find the maximum or minimum values, if any, of the following functions without using the derivatives:
16x² – 16x + 28

Prove that the following functions do not have maxima or minima:
f(x) = e^x

Prove that the following functions do not have maxima or minima:
g(x) = log x

Prove that the following functions do not have maxima or minima:
h(x) = x³ + x² + x + 1

Find the absolute maximum value and the absolute minimum value of 

Find the absolute maximum and minimum values of a function f is given by
f (x) = 2x³ – 15x² + 36x + 1 on the interval of [1, 5].

Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals:

Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals:

Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals: