1) y' = 1/2√x * Sinx + √x*Cosx= (Sinx +2xCosx)/2√х
2) y'(3*(x² +3x) - 3x(2x +3))/(x² +3x)² = (3x² +9x -6x² -9x)/(x² +3x)² =
=-3x²/(x² +3x)²= -3/(x + 3)²
3)y' = -5x⁻⁶ = -5/x⁶
4) y' = -2/3*x^-5/3 = -2/(3∛x⁵
1) y' = 1/2√x * Sinx + √x*Cosx= (Sinx +2xCosx)/2√х
2) y'(3*(x² +3x) - 3x(2x +3))/(x² +3x)² = (3x² +9x -6x² -9x)/(x² +3x)² =
=-3x²/(x² +3x)²= -3/(x + 3)²
3)y' = -5x⁻⁶ = -5/x⁶
4) y' = -2/3*x^-5/3 = -2/(3∛x⁵