A rechargeable battery is plugged into a charger. The graph showsC(t),the percentage of full capacity that the battery reaches as a function of timetelapsed (in hours).WebAssign Plot(a) What is the meaning of the derivativeC'(t)?C'(t) is the total percentage of full capacity with respect to elapsed time in hours.C'(t) is the instantaneous rate of change of percentage of full capacity with respect to elapsed time in hours.C'(t) is the average rate of change of percentage of full capacity with respect to elapsed time in hours.C'(t) is elapsed time in hours required for a given percentage of full capacity to be reached.(b) Sketch the graph ofC'(t).WebAssign Plot WebAssign PlotWebAssign Plot WebAssign PlotWhat does the graph ofC'(t)tell you?The graph ofC'(t) tells us that the rate of change of percentage of full capacity is increasing and without bound.The graph ofC'(t) tells us that the rate of change of percentage of full capacity is increasing and approaching 100.The graph ofC'(t) tells us that the rate of change of percentage of full capacity is decreasing and approaching 0.The graph ofC'(t) tells us that the rate of change of percentage of full capacity is increasing and approaching 0.The graph ofC'(t) tells us that the rate of change of percentage of full capacity is decreasing without bound.