对该函数求导得f'(x) = 6x^2-6x-36 = 6(x^2-x-6) = 6(x-3)(x+2)
令f'(x) = 0得x = 3或-2,取x=0代入f'(0) = -36 < 0 取 x = 4代入f'(4) = 36 >0 取 x = -3 代入f'(3-) = 36 > 0,所以 x = -2 处取得极大值,在x = 3处取得极小值,故f（x）的极值点为极大值点（－2,49）极小值点（3,－76）