need help with the following

2. If f(x) = (2x + 1)(3x - 2), find f'(x) two ways: by using the product rule and by multiplying out. Do you get the same result? For Problems 6,18,22,28 find the derivative. Assume that a, b, c, and k are constants. 6. y = 5zer 18. y = x - 2^x 22. f (x) = 28. y = In z 33. If f(x) = (3x + 8)(2x - 5), find f'(x) and f"(x). 34. Find the equation of the tangent line to the graph of f (a) = 2 5 a 7+1 at the point at which x = 0. 38. If # (tf (t)) = 1 + f (t), what is f'(t)? 40. The quantity of a drug, Q mg, present in the body t hours after an injection of the drug is given is Q = f(t) = 100te-0.5t Find f(1), f'(1), f(5), and f'(5). Give units and interpret the answers. 42. If p is price in dollars and q is quantity, demand for a product is given by q = 5000e -0.08p. (a) What quantity is sold at a price of $10? (b) Find the derivative of demand with respect to price when the price is $10 and interpret your answer in terms of demand. 44. The quantity demanded of a certain product, q, is given in terms of p, the price, by 9 = 1000e-0.02p (a) Write revenue, R, as a function of price. (b) Find the rate of change of revenue with respect to price. (c) Find the revenue and rate of change of revenue with respect to price when the price is $10. Interpret your answers in economic terms