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- $\rhd$ 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)