Model and interpret a contextual rate of change
A function is used for the temperature recorded at a weather station
\[T(t)=35 + 3\,t - t^{2}\]
T is measured in degrees Celsius, and t is measured in hours
\[t\in[0,3]\]
Determine the derivative value at the displayed input
\[t=1\]
\[t_1=0,\quad t_2=1\]