CHAPTER 1 REVIEW1. Find limx2 +2x-35x--7x+72. For f(x) = x³ + x² – 2x%3Dfind the average rate of change as x changes from -1 to 2.a.b. find the instantaneous rate of change at x = 2.Differentiate the following:3.x +24a. f(x) = x + 8x² – 2x3+x3x²rx- x3+xb. y =** +1)x)-cDcx)* TOc. y =8-xx2/3 + 750, where x is the4. Given revenue and cost functions R(x) = 50x and C(x)number of items produced and R(x) and C(x) are in dollars, find the following.The average revenue, the average cost, and the average profit when x itemsa.are produced.b. The rate at which average cost is changing when 8 items are produced.Find the point(s) on the graph of v = x³ - 3x2 at which the tangent line is horizontal

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unsure as to how to start this one can someone please out line how I do this type of problem

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Step 1

As per our guidelines we can solve only one question at a time. If you want any specific question to be solved then please repost the one you’d like to get answered.

Step 2

Consider problem no.4

We have given

Then Profit function is given by

Step 3
1. Find the average revenue, the average cost and the average profit when x items are produced.

Average revenue is

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