f(x)= (2-x)/(5+3x)
есть формула: (U/V)'= (U'V - UV')/V²
f'(x) = ( (2-x)'(5+3x) - (2-x)(5+3x)')/(5 + 3x)² =
=(-(5 +3x) -3(2 -x))/(5 +3х)² = (-5 -3х -6 +3х)/(5 +3х)² = -11/(5+3х)²
f(x)= (2-x)/(5+3x)
есть формула: (U/V)'= (U'V - UV')/V²
f'(x) = ( (2-x)'(5+3x) - (2-x)(5+3x)')/(5 + 3x)² =
=(-(5 +3x) -3(2 -x))/(5 +3х)² = (-5 -3х -6 +3х)/(5 +3х)² = -11/(5+3х)²