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- 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.Find derivatives of the functions defined as follows. fz=2z+e-z22Determine 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 function exists whenever the function is continuous.Use graphical differentiation to verify that ddxex=ex.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.