) If W denotes the weight (in pounds) of an individual and t denotes time (in months), then dW dt is the rate of weight gain or loss (in pounds per month). The current record for weight loss is a drop in weight from 487 pounds to 130 pounds over an eight-month period. Assuming that weight is a differentiable function of time, show that the instantaneous rate of weight loss exceeded 44 pounds per month at some time during that eight-month period.