Impara online a risolvere i problemi di passo dopo passo. d/dx(((x^2-81)/(x^2+81))^(1/2)). Applicare la formula: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}\frac{d}{dx}\left(x\right), dove a=\frac{1}{2} e x=\frac{x^2-81}{x^2+81}. Applicare la formula: \left(\frac{a}{b}\right)^n=\left(\frac{b}{a}\right)^{\left|n\right|}, dove a=x^2-81, b=x^2+81 e n=-\frac{1}{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^2-81 e b=x^2+81. Applicare la formula: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, dove a=1, b=2, c=\frac{d}{dx}\left(x^2-81\right)\left(x^2+81\right)-\left(x^2-81\right)\frac{d}{dx}\left(x^2+81\right), a/b=\frac{1}{2}, f=\left(x^2+81\right)^2, c/f=\frac{\frac{d}{dx}\left(x^2-81\right)\left(x^2+81\right)-\left(x^2-81\right)\frac{d}{dx}\left(x^2+81\right)}{\left(x^2+81\right)^2} e a/bc/f=\frac{1}{2}\sqrt{\frac{x^2+81}{x^2-81}}\frac{\frac{d}{dx}\left(x^2-81\right)\left(x^2+81\right)-\left(x^2-81\right)\frac{d}{dx}\left(x^2+81\right)}{\left(x^2+81\right)^2}.

d/dx(((x^2-81)/(x^2+81))^(1/2))