Решите производную (x^2+3x/x-4)

Question

Решите производную (x^2+3x/x-4)

Answer 1

[(x²+3x)/(x-4)]`=[(2x+3)(x-4)-1(x²+3x)\/(x-4)²=
=(2x²-8x+3x-12-x²-3x)/(x-4)²=(x²-8x-12)/(x-4)²