Question

найти производную функции y=(1/x+1)(2x-3)

Answer 1

y’=(1/x+1)’(2x-3)+(2x-3)’(1/x+1)= -x^2(2x-3)+2(1/x+1)= -2x^-1 +3x^-2 +2/x +2= 3x^-2 -2/x +2/x +2= 3x^-2 +2