Question: Exercises 12 and 13 refer to the data in Example 1. Approximate the derivative with the symmetric difference quotient (SDQ) approximation: (a) At what t

Exercises 12 and 13 refer to the data in Example 1. Approximate the derivative with the symmetric difference quotient (SDQ) approximation: - T' (t) = T(t+20) T(t - 20) 40

EXAMPLE 1 Surface Temperatures During an Eclipse Since the moon has no at- mosphere to help moderate the

(a) At what t does the SDQ approximation give the fastest rate of increase of temperature? What is the rate of change?
(b) At what t does the SDQ approximation give the fastest rate of decrease of temperature? What is the rate of change?

- T' (t) T(t + 20) - T(t - 20) 40

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