Let f(x) = x x+1 g'(x) = X . Calculate g'(x), where g(x) is the inverse of f(x).
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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.Determine whether each of the following statements is true or false, and explain why. The derivative of 10x is x10x-1.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.
- Explain the relationship between the slope and the derivative of fx at x=a.Determine whether each of the following statements is true or false, and explain why. The derivative of a product is the product of the derivatives.Determine whether each of the following statements is true or false and explain why. The derivative of a function exists whenever the function is continuous.