Impara online a risolvere i problemi di passo dopo passo. d/dx(ln(x/(9+x^2))). Applicare la formula: \frac{d}{dx}\left(\ln\left(x\right)\right)=\frac{1}{x}\frac{d}{dx}\left(x\right). Applicare la formula: \frac{a}{\frac{b}{c}}=\frac{ac}{b}, dove a=1, b=x, c=9+x^2, a/b/c=\frac{1}{\frac{x}{9+x^2}} e b/c=\frac{x}{9+x^2}. Applicare la formula: \frac{d}{dx}\left(\frac{a}{b}\right)=\frac{\frac{d}{dx}\left(a\right)b-a\frac{d}{dx}\left(b\right)}{b^2}, dove a=x e b=9+x^2. Applicare la formula: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, dove a=9+x^2, b=x, c=\frac{d}{dx}\left(x\right)\left(9+x^2\right)-x\frac{d}{dx}\left(9+x^2\right), a/b=\frac{9+x^2}{x}, f=\left(9+x^2\right)^2, c/f=\frac{\frac{d}{dx}\left(x\right)\left(9+x^2\right)-x\frac{d}{dx}\left(9+x^2\right)}{\left(9+x^2\right)^2} e a/bc/f=\frac{9+x^2}{x}\frac{\frac{d}{dx}\left(x\right)\left(9+x^2\right)-x\frac{d}{dx}\left(9+x^2\right)}{\left(9+x^2\right)^2}.

d/dx(ln(x/(9+x^2)))