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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.Find the derivative of each function defined as follows. y=5x4+9x3+12x2-7xDetermine 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. 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.