Solve the problem. 1) Suppose that the total profit in hundreds of dollars from selling x items is given by 1) P(x) - -x2 + 12x - 34. Find the marginal profit at x - 5. A) $100 per item B) $400 per item C) - $1000 per item D) $200 per item Find the derivative. 2) y - x2 - 4 2) X B) y' - 1+4 C) y' - 1- x2 D) y' - x +- Solve the problem. 3) Let C(x) be the cost function and R(x) the revenue function. Compute the marginal cost, marginal 3) revenue, and the marginal profit functions. C(x) - 0.0004x3 - 0.024x2 + 100x + 30,000 R(x) - 350x A) C'(x) - 0.0012x2 - 0.048x + 100 R'(x) - 350 P'(x) - 0.0012x2 - 0.048x - 250 B) C'(x) - 0.0012x2 + 0.048x + 100 R'(x) - 350 P'(x) - 0.0012x2 + 0.048x + 250 C) C'(x) - 0.0012x2 - 0.048x + 100 R'(x) - 350 P'(x) - -0.0012x2 + 0.048x + 250 Find the equation of the tangent line to the curve when x has the given value. 4) f(x) - 0) 6) 5x-6/5 A) - B) 4(4 x) C) EX -4/5 D) 2x6/5Find the average rate of change for the function over the given interval. 3 7) y - between x - 1 and x - 4 7) x + 2 N - A) C) - 28 6 B) -2 Find the derivative. B) y - 12x-2 + 16x3 + 4x A) -24x-3 + 48x2 + 4 B) - 24x-1 + 48x2 + 4 C) -24x-1 + 48x2 D) - 24x-3 + 48x2 9) f(x) - 3x2 + 2x - 6 9) A) 6x + 2 B) 6x2 + 2 C) 3x + 2 D) 3x2 + 2 Find the following. 10) f'(2) if f(x) - -8x-1 + 5x-2 10) 13 A) - 13 B) C) D) A 4