Impara online a risolvere i problemi di prodotti speciali passo dopo passo. Find the derivative d/dx(((x+2)^5)/((3x-5)^6)). 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\right)^5 e b=\left(3x-5\right)^6. Simplify \left(\left(3x-5\right)^6\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 6 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=5 e x=x+2. Applicare la formula: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}\frac{d}{dx}\left(x\right), dove a=6 e x=3x-5.

Find the derivative d/dx(((x+2)^5)/((3x-5)^6))