Question

Молю,помогите Найти производную : 3х^3 - 3у^3 - 3х^2 у = 0

Answer 1

3x³-3y³-3x²y=0;⇒3(x³-y³-x²y)=0;⇒x³-y³-x²y=0;
(x³-y³-x²y)¹=0¹;⇒(x³)¹-(y³)¹-(x²y)¹=0;⇒
3x²-3y²·y¹-[(x²)¹y+x²y¹]=0;
3x²-3y²y¹-2xy-x²y¹=0;⇒
3x²-2xy=3y²y¹+x²y¹;⇒  3x²-2xy=y¹·(3y²+x²);
y¹=(3x²-2xy)/(3y²+x²);