Impara online a risolvere i problemi di passo dopo passo. Find the derivative d/dx(((3x+1)^3)/((2x+3)^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=\left(3x+1\right)^3 e b=\left(2x+3\right)^2. Simplify \left(\left(2x+3\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(x^a\right)=ax^{\left(a-1\right)}\frac{d}{dx}\left(x\right), dove a=3 e x=3x+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=2x+3.

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