1. у'=2x/√(x²+3))*(1/(2√(x²+3))-(√(x²+3)-x*2x/(2√(x²+3))/(x²+3)=
x/(x²+3)-(√(x²+3)-x²/(√(x²+3))/(x²+3))=x/(x²+3)-((x²+3-x²)/(√(x²+3))/(x²+3))=
x/(x²+3)-((3)/(√(x²+3)*(x²+3))=(x√(x²+3)-3)/(√(x²+3)*(x²+3))
2.y'=(e^(-x²)(-2x)*(2x)-e^(-x²)*2)/4x²=(e^(-x²)(-4x²+2x²)/4x²= -e^(-x²)/2
3.y'=(-25x⁴*ctgx-5x²/sin²x)/ctg²x=-25x⁴/ctgx-5x²/cos²x
1. у'=2x/√(x²+3))*(1/(2√(x²+3))-(√(x²+3)-x*2x/(2√(x²+3))/(x²+3)=
x/(x²+3)-(√(x²+3)-x²/(√(x²+3))/(x²+3))=x/(x²+3)-((x²+3-x²)/(√(x²+3))/(x²+3))=
x/(x²+3)-((3)/(√(x²+3)*(x²+3))=(x√(x²+3)-3)/(√(x²+3)*(x²+3))
2.y'=(e^(-x²)(-2x)*(2x)-e^(-x²)*2)/4x²=(e^(-x²)(-4x²+2x²)/4x²= -e^(-x²)/2
3.y'=(-25x⁴*ctgx-5x²/sin²x)/ctg²x=-25x⁴/ctgx-5x²/cos²x