3. [2/3 Points] DETAILS PREVIOUS ANSWERS TANAPCALC10 2.6.024. Let f(x) = x2 + 4x. (a) Find the derivative f' of f. f'(x) = 2x + 4 (b) Find the point on the graph of fwhere the tangent line to the curve is horizontal. (Hint: Find the value ofx for which f'(x) = D.) (X.y)=( 727*4 ) (c) Sketch the graph of fand the tangent line to the curve at the point found in part (b). 2. [-12 Points] DETAILS TANAPCALC10 2.6.020.M|. Find the slope of the tangent line to the graph of the function at the given point. f(x) = 5x 2x2 at (3, 33) m: Determine an equation of the tangent line. y: Marginal Revenue for an Apartment Complex Lynbrook West. an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars) realized from renting x apartments is represented by the following function. P(x) = -4x1 + 183OX - 59000 (a) What is the actual prot realized from renting the 6lst unit, assuming that 60 units have already been rented? _x (b) Compute the marginal prot when X = 60 and compare your results with that obtained in part (a). $:l Effect of Advertising on Profit The quarterly profit (in thousands of dollars) of Cunningham Realty is given by PX)=%X2+8X+36 (DSXSSD) where X (in thousands of dol ars) is the amount of money Cunningham spends on advertising per quarter. (3) Find P'(x). P'(>