## he daily temperature in degrees Fahrenheit of Phoenix in the summer can be modeled by the function T(x)=94−10cos[π12(x−2)], where x is hours

Question

he daily temperature in degrees Fahrenheit of Phoenix in the summer can be modeled by the function T(x)=94−10cos[π12(x−2)], where x is hours after midnight. Find the rate at which the temperature is changing at 4 p.m.

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2021-11-20T11:08:57+00:00
2021-11-20T11:08:57+00:00 1 Answer
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## Answers ( )

Answer:The rate at which the temperature is changing at 4 p.m. is

Step-by-step explanation:The derivative, is the instantaneous

rate of changeof with respect to when .We know that the daily temperature in degrees Fahrenheit of Phoenix in the summer can be modeled by the function

,

where is hours after midnight.

To find the rate at which the temperature is changing at 4 p.m. First, we must find the derivative of this function.

So,

Then, at 4 p.m means because is hours after midnight.

Thus,

The rate at which the temperature is changing at 4 p.m. is