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