Give atleast 10 most toughest question of differentiation ?

1.	Give atleast 10 most toughest question of differentiation ?
Answer» Answer: $1)if(x {}^{2} + y {}^{2} ) {}^{2} = xy \: find \: dy \div dx$ $2)if \: x {}^{m} y {}^{n} = (x + y) {}^{m + n} prove \: dy \div dx = x \div y$ $3)find \: dy \div dxy = sin(1 + x2 \div 1 - x2)$ $4)differentite \: <klux>WRT</klux> \: x \: sin5xcos3x$ $5)<klux>DIFFERENTIATE</klux> \: wrt \: x \: (xsinx)1 \div 2$ $6)if \: y = log(x + (1 + x2)1 \div 2 \\ pt \\ dy \div dx = 1 \div log(x + ( + x2)1 \div 1 \div 2).1 \div (1 + x2)1 \div 2$ 7) differentiate LOGX wrt cotx FOLLOW. ME

Answer»

Answer:

$1)if(x {}^{2} + y {}^{2} ) {}^{2} = xy \: find \: dy \div dx$