Impara online a risolvere i problemi di differenziazione implicita passo dopo passo. d/dx(((x(x+7))/(x^3+6))^(1/5)). 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}{5} e x=\frac{x\left(x+7\right)}{x^3+6}. Applicare la formula: \left(\frac{a}{b}\right)^n=\left(\frac{b}{a}\right)^{\left|n\right|}, dove a=x\left(x+7\right), b=x^3+6 e n=-\frac{4}{5}. 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\left(x+7\right) e b=x^3+6. Applicare la formula: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, dove a=1, b=5, c=\frac{d}{dx}\left(x\left(x+7\right)\right)\left(x^3+6\right)-x\left(x+7\right)\frac{d}{dx}\left(x^3+6\right), a/b=\frac{1}{5}, f=\left(x^3+6\right)^2, c/f=\frac{\frac{d}{dx}\left(x\left(x+7\right)\right)\left(x^3+6\right)-x\left(x+7\right)\frac{d}{dx}\left(x^3+6\right)}{\left(x^3+6\right)^2} e a/bc/f=\frac{1}{5}\sqrt[5]{\left(\frac{x^3+6}{x\left(x+7\right)}\right)^{4}}\frac{\frac{d}{dx}\left(x\left(x+7\right)\right)\left(x^3+6\right)-x\left(x+7\right)\frac{d}{dx}\left(x^3+6\right)}{\left(x^3+6\right)^2}.

d/dx(((x(x+7))/(x^3+6))^(1/5))