What is the meaning of the derivative

Reference no: EM131010670

Car tires need to be inflated properly because overinflation or underinflation can cause premature treadware. The data in the table show tire life L (in thousands of miles) for a certain type of tire at various pressures P (in lb/in²).

P	26	28	31	35	38	42	45
L	50	66	78	81	74	70	59

a. Use a graphing calculator or computer to model tire life with a quadratic function of the pressure.

b. Use the model to estimate dL/dP when P = 30 and when P = 40. What is the meaning of the derivative? What are the units? What is the significance of the signs of the derivatives?

Reference no: EM131010670

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