Consider the function w() = - 12x? + 30x? - 2. Differentiate w and use the derivative to determine each of the following.All intervals on which w is increasing. If there are more than one intervals, separate them by a comma. Use open intervals and exact values.w increases on:All intervals on which w is decreasing. If there are more than one intervals, separate them by a comma. Use open intervals and exact values.w decreases on: The value(s) of 2 at which w has a relative maximum. If there are more than one solutions, separate them by a comma. Use exact values.w has relative maximum(s) at x =The value(s) of zat which w has a relative minimum. If there are more than one solutions, separate them by a comma. Use exact values. w has relative minimum(s) at x=0