1. Let f : (−1,1) → R, f(x) = (1+x³)-³. Compute g' : (0, 1) → R where (a) g(x) = X X f. (b) g(x) = [*" f ƒ.
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- Determine whether each of the following statements is true or false, and explain why. The chain rule is used to take the derivative of a product of functions.Use graphical differentiation to verify that ddxex=ex.Determine whether each of the following statements is true or false, and explain why. The derivative of a sum is the sum of the derivatives.