Issignment 2Consider x=-1.a. Is f(x) continuous at x=-1?b. If f(x) differentiable at x=-1?List the four steps used to find the derivative. Then use the four-step process to find the derivative of f(x)=x2-3x.10:4787Written Assignment 2Page 1 of 53. Sales analysis. A company's total sales (in millions of dollars)t months from now are given by S(t)=0.014t40.2t33.2t28t-2A) Find S'(t).B) Find S(4) and S'(4) to two decimal places and write a brief verbal interpretation of these results.4. Sales Analysis. A company's total sales (in millions of dollars)t months from now are given by S(t)=t23. Find and interpret S'(16).Page 2 of 5A) Finutive derrage cost function ?bar(C)(x).10:4787Written Assignment 2Page 2 of 55. A company determines the total daily costs of producing x surf boards is given by C(x)=10002x.A) Find the average cost function ?bar(C)(x).B) Find the marginal average cost function ?bar(C)'(x).C) Find ?bar(C)(100) and ?bar(C)'(100) and interpret the results.Page 3 of 56. The nrice and demand for the manufacture of a certain model of surfonard is related 0.02x, where p is the retail price per sur 1600. a function of x.10:4787Written Assignment 2Page 3 of 56. The price and demand for the manufacture of a certain model of surfboard is related by the function p=32-0.02x, where p is the retail price per surfboard at a demand of x surfboards for 0x1600.A) Find the revenue as a function of x.B) Find the marginal revenue function.C) Find R(600) and R'(600) and interpret the results.Page 4 of 5I revenue (in dollars) for a company selli75x-3x2 and C(x)=12516x for 1A) Use the graph of C(x)(the straight line) and R(x)(the parabola) to find theinterval(s) of x for which the company is experiencing a profit.10:4787Written Assignment 2Page 4 of 57. The total cost and total revenue (in dollars) for a company selling x million memory chips are given by:R(x)=75x-3x2 and C(x)=12516x for 1x20A) Use the graph of C(x)(the straight line) and R(x)(the parabola) to find theC) Find the marginal profit function.D) Find and interpret P(10) and P'(10)Page 5 of 5