Esercizio
$\frac{d^2}{dx^2}\left(tan\left(y\right)=\frac{1}{x}\right)$
Soluzione passo-passo
Passi intermedi
1
Trovare la derivata ($1$)
$\frac{d}{dx}\left(y\right)\sec\left(y\right)^2=\frac{-1}{x^2}$
Passi intermedi
2
Trovare la derivata ($2$)
$2\left(\frac{d}{dx}\left(y\right)\right)^2\sec\left(y\right)^2\tan\left(y\right)+\frac{d^2}{dx^2}\left(y\right)\sec\left(y\right)^2=\frac{2x}{x^{4}}$
Passi intermedi
$2\left(\frac{d}{dx}\left(y\right)\right)^2\sec\left(y\right)^2\tan\left(y\right)+\frac{d^2}{dx^2}\left(y\right)\sec\left(y\right)^2=\frac{2}{x^{3}}$
Risposta finale al problema
$2\left(\frac{d}{dx}\left(y\right)\right)^2\sec\left(y\right)^2\tan\left(y\right)+\frac{d^2}{dx^2}\left(y\right)\sec\left(y\right)^2=\frac{2}{x^{3}}$