## 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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2 weeks 2021-11-20T11:08:57+00:00 1 Answer 0 views 0

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

Step-by-step explanation:

The derivative,   is the instantaneous rate of change of 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