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 + cosx, o < x< \(\frac{\pi}{2}\)
(iv) f(x) = sinx – cosx, 0 < x < 2π