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- Determine whether each of the following statements is true or false, and explain why. The derivative of a quotient is the quotient of the derivatives.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.Determine whether each of the following statements is true or false, and explain why. Implicit differentiation can be used to find dy/dx when x is defined in terms of y.