Impara online a risolvere i problemi di limiti per sostituzione diretta passo dopo passo. d/dx(ln(((x+10)/(x-10))^(1/4))). 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{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}\frac{d}{dx}\left(x\right), dove a=\frac{1}{4} e x=\frac{x+10}{x-10}. Applicare la formula: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, dove a=1, b=\sqrt[4]{\frac{x+10}{x-10}}, c=1, a/b=\frac{1}{\sqrt[4]{\frac{x+10}{x-10}}}, f=4, c/f=\frac{1}{4} e a/bc/f=\frac{1}{4}\frac{1}{\sqrt[4]{\frac{x+10}{x-10}}}\left(\frac{x+10}{x-10}\right)^{-\frac{3}{4}}\frac{d}{dx}\left(\frac{x+10}{x-10}\right). Applicare la formula: \left(\frac{a}{b}\right)^n=\left(\frac{b}{a}\right)^{\left|n\right|}, dove a=x+10, b=x-10 e n=-\frac{3}{4}.

d/dx(ln(((x+10)/(x-10))^(1/4)))