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- Use Chain Rule to find f''(2) where f(x)=e^x^4+x^2-12 and y=f(x).For y = ln(x7 + 3x - 9), to find y' would require the chain rule. If y = f(g(x)), find an f(x) and g(x) that would allow you to use the chain rule.Consider the function: f (x,y) = 2x² - 4x - xy² + 2y² - 3. Explain and then use the chain rule for small changes to estimate the change in f that occurs when (x,y) changes from (0,1) to (0.01, 0.99).
- The R2 from regressing Y on X is the same as the R2 ofregressing X on Y. True or false?1. How do you find the linearization of f(x) at x = a? Illustrate with a concrete exampleConsider the functions f: R2→R2 given by f (x,y) = ( 5y−3x, x2) and g: R2→R2 given by g (v,w) = (−2v2, w3+7) Find Df and Dg. Use the chain rule to find D(g(f)) at the point (x,y) = (1,2)