Consider the following function.f(x) = (5x)(x + 1)(a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)X =(b) Find the open

Consider the following function.f(x) = (5x)(x + 1)²(a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)X =(b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answerdoes not exist, enter DNE.)increasingdecreasing(c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.)relative maximum (x, y) =relative minimum(x, y) =