Derivata 1^ e 2^

Question

[attach]118900[/attach] Spiegare gentilmente i ragionamenti, i passaggi e argomentare.

cmc · Accepted Answer

y(x) = ln^2tan^2x^2 $ D(y(x)) = D(ln^2tan^2x^2) $ D(y(x)) = 2ln(tan^2x^2)) D(ln tan^2x^2) $ D(y(x)) = 2ln(tan^2x^2))  frac {1}{tan^2x^2}D(tan^2x^2) $ D(y(x)) = 2ln(tan^2x^2))  frac {1}{tan^2x^2}(2tanx^2) D(tanx^2)$ D(y(x)) = 4ln(tan^2x^2))  frac {1}{tanx^2}  frac {1}{cos^2x^2} D(x^2) $ D(y(x)) = 4ln(tan^2x^2))  frac {cosx^2}{sinx^2}  frac {1}{cos^2x^2} D(x^2) $ D(y(x)) = 4ln(tan^2x^2))  frac {1}{sinx^2}  frac {1}{cosx^2} D(x^2) $ D(y(x)) = 8xln(tan^2x^2))  frac {1}{sinx^2 cosx^2} $ D(y(x)) = 16xln(tan^2x^2))  frac {1}{2sinx^2 cosx^2} $ D(y(x)) = 16xln(tan^2x^2))  frac {1}{sin(2x^2)} $

Derivata 1^ e 2^

Domande