1) f(x) = 4x⁵ + 2x^-3/2f'(x) = 20x⁴ -3х^-5/2 = 20х⁴ -3/(х²√х)2)f(x) = (x³ -x +1)/x² * (2 +5x -3x²)f'(x)=((x³ -x +1)/x² )' * (2 +5x -3x²) + (x³ -x +1)/x² * (2 +5x -3x²)' ==((3x² -1)*x² -2x(x³ -x +1) )/x⁴ + (x³ -x +1)/x² * (5 -6x) ==(3x⁴ -x² -2x⁴ +2x² -2x)/x⁴ +(x³ -x +1)(5 -6x)/х²==(х⁴ +х² -2х)/х⁴ + (x³ -x +1)(5 -6x)/х²3)f'(x) = 2((x+1)/(x+2))' = 2*(x +2-x -1)/(x+2)² = 2/(х +2)²4) f'(x) = 1/2√(x² -8) * 2x = x/√(x² -8)5) f'(x) = 2(x² -6x +5)*(2x -6)6) f(x) = Cosx/2f'(x) = -1/2*Sinx/27)f(x) = 2Sinx/4f'(x) = 1/2*Cosx/4