Problem 13E

13. A rechargeable battery is plugged into a charger. The graph shows $C(t)$, the percentage of full capacity that the battery reaches as a function of time $t$ elapsed (in hours).

(a) What is the meaning of the derivative $C^{\prime}(t)$ ?

(b) Sketch the graph of $C^{\prime}(t) .$ What does the graph tell you?

Step-by-Step Solution