Derivata 1^ e 2^

Question

[attach]118951[/attach] Spiegare gentilmente i ragionamenti, i passaggi e argomentare.

cmc · Accepted Answer

$ y(x) = arctan(x+1) - arctan( frac {x}{x+2}) $ $ D(y(x)) = D(arctan(x+1) - D(arctan( frac {x}{x+2}) ))$ $ D(y(x)) =  frac {1}{1+(x+1)^2} -  frac {1}{1+( frac {x}{x+2})^2} D( frac {x}{x+2})$ $ D(y(x)) =  frac {1}{x^2+2x+2} -  frac {(x+2)^2}{(x+2)^2+x^2} .  frac {2}{(x+2)^2} $ D(y(x)) =  frac {1}{x^2+2x+2} -  frac {2}{(x+2)^2+x^2} $ $ D(y(x)) =  frac {1}{x^2+2x+2} -  frac {1}{x^2+2x+2} $ $ D(y(x)) = 0 $

Derivata 1^ e 2^

Domande