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- If (5,2) is a critical point for the function y= f(x) and f''(x) is + , what can we conclude regarding the point (5,2)?So, to find a critical point, you would use f(x) and not f'(x)?In a certain company, the income from the sale of x thousand pieces of products is given by I (x) = 9x, while the cost of making the same x products is given by C (x) = x ^ 3-6x ^ 2 + 15x + 1. Assuming that I and C are in thousands of dollars and everything produced is sold, what is the maximum profit the producer can make? Argues using first or second derivative criteria.