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CHAIN RULE & IMPLICIT DIFFERENTIATION
Differentiate the given functions. Express the answers in simplest form. Step by step.
Step by step
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- How do I find the critical numbers for the function f(x) = x2 – 4x + 2?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.Analyze the critical points of f (x) = (2x − x2)ex .