1) Use calculus techniques to establish the first and second derivatives of the following functions and to graph the functions below by indicating 1) points where f(x) = 0, 2) the y-intercept, 3) all relative maxima, 4) all relative minima, and 4) points of inflection, if any. Show all of your work. a) x2 x 1 b) f(x) = x3 + 3x2 + 3x f ( x) c) f(x) = (5x2 + 6x - 2)(x - 5)