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

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