Impara online a risolvere i problemi di moltiplicare potenze della stessa base passo dopo passo. d/dx(ln((x^2)/(3x-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{a}{\frac{b}{c}}=\frac{ac}{b}, dove a=1, b=x^2, c=3x-4, a/b/c=\frac{1}{\frac{x^2}{3x-4}} e b/c=\frac{x^2}{3x-4}. 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 e b=3x-4. Applicare la formula: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, dove a=3x-4, b=x^2, c=\frac{d}{dx}\left(x^2\right)\left(3x-4\right)-x^2\frac{d}{dx}\left(3x-4\right), a/b=\frac{3x-4}{x^2}, f=\left(3x-4\right)^2, c/f=\frac{\frac{d}{dx}\left(x^2\right)\left(3x-4\right)-x^2\frac{d}{dx}\left(3x-4\right)}{\left(3x-4\right)^2} e a/bc/f=\frac{3x-4}{x^2}\frac{\frac{d}{dx}\left(x^2\right)\left(3x-4\right)-x^2\frac{d}{dx}\left(3x-4\right)}{\left(3x-4\right)^2}.

d/dx(ln((x^2)/(3x-4)))