Find all relative extrema of the function. Use the Second Derivative Test where applicable. (Order your answers from smallest to largest x, then from smallest to largest y. If an answer does not exist, enter DNE.) g(x) = 6x2(1 - x2) relative maxima (x, y ) = ( x, ) = relative minimum (x, y ) =A rancher has 400 feet of fencing with which to enclose two adjacent rectangular corrals (see figure). What dimensions should be used so that the enclosed area will be a maximum? ( x, y ) = ftSketch the graph of a function f having the given characteristics. f(3) = f(9) = 0 f'(6) = f'(8) = 0 f'(x) > 0 for x 0 for 6 8 f"(x) 7 f"(x) > 0 for 6