can you help my for this

1. Chains Inc. is in the business of making and selling chains. Let c(t)be the number of miles of chain produced after: hours of production. Let p(c) be the profit as a function of the number of miles of chain produced and let qft) be the profit as a function of the number of hours of production. Suppose the company can produce 3 miles of chain per hour and suppose their profit on the chains is $4DDD per mile of chain. Find and interpret [use complete sentences] each of the following {include units]. Cl) plfc). and q'(t). How does q'(t) relates to pl(c)and EH)? 2. Use Desmos to graph the function y3 + gm? + 3:2 333 = {I and estimate the slope of the tangent line at ['I,'l]. Then find 35 using implicit differentiation and plug in 3: = 1 and y = 1. Compare and discuss the estimated slope with the slope you found analytically. 3. Letf($) = (31:2 + 1)? Find f'[$) in 3 different ways by following the instructions below in parts ar b and c: a] Develop the identityf(s::l then take the derivative. b] View ffsj) as(3,r9 +1)(3;1:Q + 1) and use the product rule to nd f'($). c] Apply the chain rule directly to the expression f(3:) = (31:? + 1)? d] Are your answers in parts ar br c the same? 1li'il'hy or why not? 4. Find if? for the equation 31,-? _ cost: = $3