Impara online a risolvere i problemi di equazioni logaritmiche passo dopo passo. Find the derivative d/dx(((x^2-1)^3)/((1+2x)^5)). 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=\left(x^2-1\right)^3 e b=\left(1+2x\right)^5. Simplify \left(\left(1+2x\right)^5\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 5 and n equals 2. Applicare la formula: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}\frac{d}{dx}\left(x\right), dove a=3 e x=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=5 e x=1+2x.

Find the derivative d/dx(((x^2-1)^3)/((1+2x)^5))