Calculus

The table below shows the temperature (in °F) t hours after midnight in Phoenix on March 15. The table shows values of this function recorded every two hours. (10 points)
a. Estimate the value of T'(6). Give units in your answer.
b. What is the meaning of T'(6)?

t 0 2 4 6 8 10 12 14

T 73 73 70 68 73 80 86 89

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  1. T'(6) could be approximated by the value

    (T(8)-T(6))/2 = 5/2

    T'(6) means how fast T is changing at t=6, in °F/hr.

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