Exercise 3. Solve the following : (a) find the relative extrema of the function using the first-derivative test; (b) determine the values of x at which the relative extrema occur ; (c) determine the intervals on which the function is increasing and decreasing; (d) Sketch the graph of the function from your answers. 1. f (x) = x3 - 3x2 + 3x 2. y = x'- 3x' - 5 x2 - 4x + 5 3. f (x) =. x - 2 4. f (x) = 2x' In x 5. y = ex sin x