直接对等式求导2x y+x^2 y’-1/(cos x)^2=cosy· y’移项求y’即可
4 设减去 x, 则 V = x(a-2x)^2 = a^2x-4ax^2+4x^3dV/dx = a^2 - 8ax + 12x^2 令 dV/dx = 0, 得驻点 x = a/6, 或 x = a/2(舍去)则 x = a/6 时体积最大