Impara online a risolvere i problemi di passo dopo passo. Find the derivative d/dx((x^2-1)/((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=x^2-1 e b=\left(x+1\right)^2. Simplify \left(\left(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: -\left(a+b\right)=-a-b, dove a=x^2, b=-1, -1.0=-1 e a+b=x^2-1. Applicare la formula: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}\frac{d}{dx}\left(x\right), dove a=2 e x=x+1.

Find the derivative d/dx((x^2-1)/((x+1)^2))