Impara online a risolvere i problemi di regola del quoziente di differenziazione passo dopo passo. Find the derivative d/dx(1/(x^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=1 e b=x^3. Simplify \left(x^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. Applicare la formula: \frac{d}{dx}\left(c\right)=0, dove c=1. Applicare la formula: x+0=x, dove x=-\frac{d}{dx}\left(x^3\right).

Find the derivative d/dx(1/(x^3))