1. For each function below, find (i) the r-coordinate of the relative (local) minima/maxima using the first derivative test (ii) the interval(s) on which f is increasing and the interval(s) on which f is decreasing (iii) the r-coordinate of the relative (local) minima/maxima using the second derivative test, if possible (iv) the inflection points of f, if any (v) the interval(s) on which f is concave upward and the interval(s) on which f is downward (a) f(x) = 23 - 3x2+4 (b) f(x) = -3x4 + 4x3+ 2 (c) f(x) = (x - 1)3 +2 (d) f(x) = 23/2(x -5) (e) f(x) = }2/3(2x -5) (f) f(x) = r + cost (0