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Solve for the derivative of the function using chain rule.
1. f(x)=(1/3x3+3)3
2. f(x)=4√ -3x4-2
3. f(x)=1/(-x4-3)2
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- Where does f(x) = x^3 / (x^2−1) have a critical point, which is not an extremum?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.Describe the end behavior for this fucntion F(x)=x^5-3x^3+2x-4