Question

найдите производную функцию$y= frac{-3 x^{4}-4 x^{3} }{-3 x^{2} -3}$

Answer 1

$displaystyle y'= frac{(-3x^4-4x^3)'*(-3x^2-3)-(-3x^4-4x^3)*(-3x^2-3)'}{(-3x^2-3)^2} =\ \ \ = frac{(12x^3+12x^2)(3x^2+3)+(3x^4+4x^3)*(-6x)}{9(x^2+1)^2} =\ \ \ = frac{36x^5+36x^3+36x^4+36x^2-18x^5-24x^4}{9(x^2+1)^2} =\ \ \ = frac{18x^5+12x^4+36x^3+36x^2}{9(x^2+1)^2} = frac{9x^5+4x^4+12x^3+12x^2}{3(x^2+1)^2}$