Impara online a risolvere i problemi di passo dopo passo. d/dx(((x^(1/3))/((2x-1)^3))^(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{\sqrt[3]{x}}{\left(2x-1\right)^3}. Applicare la formula: \left(\frac{a}{b}\right)^n=\left(\frac{b}{a}\right)^{\left|n\right|}, dove a=\sqrt[3]{x}, b=\left(2x-1\right)^3 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=\sqrt[3]{x} e b=\left(2x-1\right)^3. Simplify \left(\left(2x-1\right)^3\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals 2.

d/dx(((x^(1/3))/((2x-1)^3))^(1/3))