Derivatives as Rates of Change

    1. $\rhd$ Interpreting the meaning of the derivative in context. (4:52)

a) Eddie drove from NYC to Philadelphia. The function $D$ gives the total distance Eddie has driven (in kilometers) $t$ hours later he left. What is the best interpretation for the following statement? $D'(2)=100$.

b) The tank is being drained of water. The function $V$ gives the volume of liquid in the tank, in liters, after $t$ minutes. What is the best interpretation for the following statement? The slope of the tangent line to the graph of $V$ at $t=7$  is equal to $-7$.

2.   * Practice: Analyzing problems involving rates of change in applied contexts. (2 problems with a guiding text).

3.  * Practice: Interpreting the meaning of the derivative in context. (4 problems)