Esercizio
$\frac{d}{dx}y=\left[\frac{1}{\left(x^3-x+1\right)^2}\right]$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Find the derivative d/dx(1/((x^3-x+1)^2)). 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=\left(x^3-x+1\right)^2. Simplify \left(\left(x^3-x+1\right)^2\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 2. Applicare la formula: \frac{d}{dx}\left(c\right)=0, dove c=1. Applicare la formula: x+0=x.
Find the derivative d/dx(1/((x^3-x+1)^2))
Risposta finale al problema
$\frac{-2\left(3x^{2}-1\right)}{\left(x^3-x+1\right)^{3}}$