Risolvere: $\frac{d^2}{dx^2}\left(\frac{3+\ln\left(x\right)}{3-\ln\left(x\right)}\right)$
Esercizio
$\frac{d^2}{dx^2}\frac{3+lnx}{3-lnx}$
Soluzione passo-passo
Passi intermedi
1
Trovare la derivata ($1$)
$\frac{\frac{3-\ln\left(x\right)}{x}+\frac{3+\ln\left(x\right)}{x}}{\left(3-\ln\left(x\right)\right)^2}$
Passi intermedi
$\frac{6}{x\left(3-\ln\left(x\right)\right)^2}$
Passi intermedi
3
Trovare la derivata ($2$)
$\frac{-6\left(\left(3-\ln\left(x\right)\right)^2-2\left(3-\ln\left(x\right)\right)\right)}{\left(x\left(3-\ln\left(x\right)\right)^2\right)^2}$
Passi intermedi
$\frac{-6\left(\left(3-\ln\left(x\right)\right)^2-2\left(3-\ln\left(x\right)\right)\right)}{x^2\left(3-\ln\left(x\right)\right)^{4}}$
Risposta finale al problema
$\frac{-6\left(\left(3-\ln\left(x\right)\right)^2-2\left(3-\ln\left(x\right)\right)\right)}{x^2\left(3-\ln\left(x\right)\right)^{4}}$