+ X m125 - Section 4.1 (2021) - Math VA X Feedba webassign.net/web/Student/Assignment-Responses/last?dep=278 [-/6.5 Points] DETAILS This problem illustrates the First Derivative Test. Suppose you compute a derivative of a continuous function g and simplify it as the following: g'(x) = 20x (5x - 1) 5 - X a) Find the critical points of g. X= (smallest) X = X (largest) (b) Determine the sign of g ' on each subinterval of the real number line where cp1, cp2, and cp3 refer to the critical points from smallest to largest. ---Select--- v ---Select--- v ---Select--- v ---Select--- v p1 cp2 cp3 (c) Use the signs to classify each critical point as a local maximum, local minimum, or neither. cp1 ---Select-- cp2 -Select-- cp3 ---Select-- Type here to search ~ O / ENG+ X m125 - Section 3.9 (2021) - Math VA X Feedback for Written Homewor webassign.net/web/Student/Assignment-Responses/last?dep=27868346 G 7. [-/2 Points] DETAILS MY NOTES Provided certain hypotheses are met, the Mean Value Theorem relates the average rate of change of a function over an interval with the instantaneous rate of change at a point in that interval. If f(x) is continuous on [a, b] and differentiable on (a, b) , then there exists a number c, with a