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

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

Prove that the following functions do not have maxima or minima: (c) h(x) = x^(3) + x^(2) + x + 1

Plot the following functions. y=(log_(e)x)+1

Plot the following functions. y=(log_(e)x)-1

Find the local maxima and local minima. If any of the following function. Also, find the local maximum and the local minimum values, as the case may be as follows: (vi) g(x) = x/2 + 2/x, x gt 0

Find the local maxima and local minima. If any of the following function. Also, find the local maximum and the local minimum values, as the case may be as follows: (ii) g(x) = x^(3) - 3x

Find the local maxima and local minima. If any of the following function. Also, find the local maximum and the local minimum values, as the case may be as follows: (i) f(x = x^(2))

Find the local maxima and local minima. If any of the following function. Also, find the local maximum and the local minimum values, as the case may be as follows: (iv) f(x) = sin x - cos x, 0 lt x lt 2 pi

Find the local maxima and local minima. If any of the following function. Also, find the local maximum and the local minimum values, as the case may be as follows: (iii) h(x) = sin x + cos x, 0 lt x lt pi/2

Find the local maxima and local minima. If any of the following function. Also, find the local maximum and the local minimum values, as the case may be as follows: (v) f(x) = x^(3) - 6x^(2) + 9x + 15