Mathematics, 25.02.2020 18:04 drdeb7766
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.
Answers: 3
is the instantaneous rate of change of 
with respect to 
when 
. ![T(x)=94-10\cos[\frac{\pi }{12}(x-2 )]](/tpl/images/0523/3296/468aa.png)
,![T'(x)=\frac{d}{dx}\left(94-10\cos \left[\frac{\pi \:\:}{12}\left(x-2\:\right)\right]\right)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g\\\\T'(x)=\frac{d}{dx}\left(94\right)-\frac{d}{dx}\left(10\cos \left(\frac{\pi }{12}\left(x-2\right)\right)\right)](/tpl/images/0523/3296/b28b7.png)
because 
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He daily temperature in degrees Fahrenheit of Phoenix in the summer can be modeled by the function T...
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