Plot both the function f(), its derivative f (), and the values of both at point x = 1 on the same plot for each of the following functions (take 8 x 8): 1. f(x) = 2 2. f(x) = 2x + 1 3. f(x) = 2x 2 + x 4. f(x) = x n + n for n = 3 Color curves for f in green and curves for f in red, values for f(x = 1) and f (x = 1) in black. Problem 2. derive the formulas for the first 4 functions in Problem 1