Learn how to solve problems step by step online. Find the derivative d/dx(((5x+5)^4)/((2x+6)^5)). Wenden Sie die Formel an: \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}, wobei a=\left(5x+5\right)^4 und b=\left(2x+6\right)^5. Simplify \left(\left(2x+6\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. Wenden Sie die Formel an: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}\frac{d}{dx}\left(x\right), wobei a=4 und x=5x+5. Wenden Sie die Formel an: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}\frac{d}{dx}\left(x\right), wobei a=5 und x=2x+6.

Find the derivative d/dx(((5x+5)^4)/((2x+6)^5))