Question 5,6,7,8,9

Question 5 If g(1) = 5 and 9 (1) = 2, find f' (1): where f(z) = zg(z) Question 6 Consider the function f(x) - -22+ 50x - 100. Find a that maximizes the function. Question 7 If g(1) = 5 and g (1) = 2, find f' (1); where f(z) = 2[g(z)] Question 8 The hourly cost (in thousands of dollars) of producing a units of a product is given by C(x) - 400 v x2 + 2x. Find the marginal cost when the production level is 5 uni Round your answer to one decimal place as needed. Question 9 Related Rates Suppose that x and y are related by the equation xy - 3x, and y is a function of z. Use implicit differentiation to find dy dx