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)=20x2(9x 1)9 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---+----Select---+----Select---+----Select---+-_____________|_____________|_____________|_____________cp1cp2cp3(c) Use the signs to classify each critical point as a local maximum, local minimum, or neither.