Suppose you compute a derivative of a continuous function g and simplify it as the following: g^{\prime}(x)-\begin{array}{c} 25 x^{2}(6 x-1) \\ 6-x \end{array} \text { (2) Find the critical points

of } q \text { . } (b) Determine the sign of g'on each sub interval of the real number line where cp1, cp2, and cp3 refer to the critical points from smallest to largest. (c) Use the signs to classify each critical points as a local maximum, or neither .