I would like some assistance with the following calculus questions

2. Find f' (x) for the following functions. You don't have to simplify your answers. (i) f(x) = Vx3 + 1 [3] (ii) f(x) = e7* In(4 - 5x) [6] (iii) f (x) = 2x3 x2 +2 [4]3. [a] Find the gradient of the curve y = 4x2 Bx + 1 at the point (2, 1). [2] [b) Find the coordinates of the point at which the tangent to the curve in part (a) is horizontal. [3] 4. The total cost of manufacturing 3: units ofa particular commodity is given by C(x} = $362 + 3x + 93 dollars. [i] Find the marginal cost function. [2] [ii]: Use the marginal cost function to estimate the cost of producing the ninth unit. [2] [iii] What is the actual cost of producing the ninth unit? [2] 7 5. You are given the function f(x) = 2x3 + 3x2 - 12x + 1. (i) Find the coordinates of the stationary points of f (x). [6](ii) Determine if each stationary point is a local maximum or a local minimum. [5]