Consider the function r(a) = 36x?. + 270x? + 480x +20. Differentiater and use the derivative to determine each of the following.All intervals on which

Consider the function r(a) = 36x?. + 270x? + 480x³ +20. Differentiater and use the derivative to determine each of the following.All intervals on which r is increasing. If there are more than one intervals, separate them by a comma. Use open intervals and exact values.T increases on:All intervals on which r is decreasing. If there are more than one intervals, separate them by a comma. Use open intervals and exact values. r decreases on:The value(s) of x at which r has a relative maximum. If there are more than one solutions, separate themby a comma. Use exact values. r has relative maximum(s) at x =The value(s) of at which r has a relative minimum. If there are more than one solutions, separate them by a comma. Use exact values. r has relative minimum(s) at x =