The Population of Bacteria in a Culture Follows the Model $f(t)=6500\left(1-e^{-.35 t}\right)$

Essay

The population of bacteria in a culture follows the model $f(t)=6500\left(1-e^{-.35 t}\right)$ , where $f(t)$ is the number of bacteria after $t$ days. Use a calculator to graph $y=f(t)$ for $0 \leq t \leq 10$ , and determine $f^{\prime}(6)$ . What does $f^{\prime}(6)$ tell about the situation?