Question

вычислить производную y=(x+1/x+1/x^2 )(x^2+x+1)

Answer 1

y=(x+1/x+1/x^2)(x^2+x+1)=

=x^3+x^2+x+x+1+1/x+1+1/x+1/x^2=

=x^3+x^2+2x+2+2/x+2/x^2

 

y ' = 3x^2+2x+2-2/x^2-4/x^3