Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be:
(i). f(x) = x2 (ii). g(x) = x3 − 3x
(iii). h(x)
= sinx + cos, 0 < (iv). f(x)
= sinx − cos x, 0 < x < 2π
(v). f(x) = x3 − 6x2 + 9x + 15
(vi).
(vii).
(viii).