Impara online a risolvere i problemi di passo dopo passo. d/dx((64/x)^(1/3)). 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}{3} e x=\frac{64}{x}. Applicare la formula: \left(\frac{a}{b}\right)^n=\left(\frac{b}{a}\right)^{\left|n\right|}, dove a=64, b=x e n=-\frac{2}{3}. 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=64 e b=x. Applicare la formula: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, dove a=1, b=3, c=\frac{d}{dx}\left(64\right)x-64\frac{d}{dx}\left(x\right), a/b=\frac{1}{3}, f=x^2, c/f=\frac{\frac{d}{dx}\left(64\right)x-64\frac{d}{dx}\left(x\right)}{x^2} e a/bc/f=\frac{1}{3}\sqrt[3]{\left(\frac{x}{64}\right)^{2}}\frac{\frac{d}{dx}\left(64\right)x-64\frac{d}{dx}\left(x\right)}{x^2}.

d/dx((64/x)^(1/3))