Please help with the correct answer, this is the third time I submit this question.

1. Chains Inc. is in the business of making and selling chains. Let (:(tje the number of miles of chain produced a t hours of production. Let 3103:) be the profit as a function of the number of miles of chain produced and let q\") the prot as a function ofthe number of hours of production. Suppose the companyr can produce 3 miles of chai per hour and suppose their prot on the chains is $4000 per mile of chain. Find and interpret {use complete sentences} each of the following [include units]. c') p'(c} and ({(. How does q'(t) relates to p'(c)and (1"r (t) 2. Use Desmos to graph the function ya + \"1'2 + 3:2 33,2 = 0 and estimate the slope of the tangent line at ( Then nd 5: using implicit differentiation and plug in 3; = 1 and y = 1. Compare and discuss the estimated 5 with the slope you found analytically. 3. Letf(g:) = {33:2 + 1?. Find f'fz) in 3 different ways by following the instructions below in parts a, b and c: a] Develop the identity f(:c)then take the derivative. b} View f{:c)as(3a:2 + \"(31:2 + 1}and use the product rule to find f'(.r). c} Apply the chain rule directly to the expression z) = (33,-2 + 1):. d} Are your answers in parts a, b, cthe same? Why or why not? 4. Find 2 for the equation 31,2 _ catty = 3:3 5. Find the equation of the tangent line that passes through point (1,2) to the graph 31,3 4- may _ I = 65 6. Find at for the equation 11,2 1:23: = 2 I". Find f'(x) for the function flit) = m E. Find f'(:c) for the function f(1:) = (51:3 + 3)4 9. Find f'(x) for the function \"1) = aincmzn 111 Find f6!) for the following functions: at f (1:) = cosnxlran b} flit) = e{4za+li}*