Find the rate of change of total revenue, cost, and profit with respect to time. assume that r(x) and c(x) are in dollars. r(x)equals60 x minus 0.5 x squared, c(x)equals2 x plus 5, when xequals35 and dx divided by dtequals20 units per day

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.