I would like some assistance with the following calculus questions

4. Find f'(x) for the following functions. You don't have to simplify your answers. 0] HI) = (3x2 + 1)' [3] [in f(x) = x mm 5x) [4] [in] HI) = x3 [4] 4I+2 6 5. A small manufacturer of key rings estimates that when x key rings are produced, the total cost, in dollars, will be C(x) = 8000e 0.02x (i) Find the marginal cost. [3] (ii) Compute the marginal cost when x = 10 and interpret your result. [3]6. You are given the function f(x) = x3 - 6x2 +9x+ 1. (i) Find the stationary points of f (x). [5] (ii) Find the coordinates of the local maximum and the local minimum. [6](iii) Sketch the graph of y = f(x). You should include the coordinates of the local maximum, the local minimum and the y - intercept on your graph. [3]