Estimating Derivatives of a Function Practice Test

The height of a plant, $$H(t)$$, in centimeters, is a differentiable function of time $$t$$ in days. Measurements are recorded as follows: $$H(10) = 20$$, $$H(12) = 24$$, and $$H(15)=33$$.

The temperature $$T$$, in degrees Celsius, of a chemical reaction is a differentiable function of time $$t$$, in minutes. At time $$t=5$$ minutes, the temperature is $$40^{\circ}C$$. At time $$t=5.5$$ minutes, the temperature is $$48^{\circ}C$$.