2 I. Let y=x- a. Find the slope of the tangent line to the graph of the given fu

Question

2 I. Let y=x- a. Find the slope of the tangent line to the graph of the given function at x=-2 b. Write the equation of the tangent line at the point where x =-2 2. Find the point on the graph of y = x3 + 3x2-9x-12 at which the tangent line is horizontal. 3. Find the derivative a) (x) (x2-5) e-4x d) )-124(2+5) 4x +3 2-5x 4. An analyst found that a company's cost and revenues in dollars for one product are given by C(x) an 2 Rx) 30 In(2x+1). Find the Marginal Profit Function 5. Given revenue and cost functions: R(x) = 50x and C(x) = x2/3 + 750 , where x is the number of item produced, R(r) and C(x) are in dollars. a) Find the total-profit, P(x). b) Find the average revenue, cost, and profit. c) Find the rate at which average profit is changing when 8 items are produced and sold

Explanation / Answer

4. C(x) =x/2

R(x) =30ln(2x+1)

Profit,P(x) =R(x)-C(x)

P(x) = 30ln(2x+1) -(x/2)

P '(x) = 60/(2x+1) -(1/2)

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