Learn how to solve quotientenregel der differenzierung problems step by step online. Find the derivative d/dx((x^y)/(y^x)). 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=x^y und b=y^x. Simplify \left(y^x\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals x and n equals 2. Wenden Sie die Formel an: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}. Wenden Sie die Formel an: x\cdot x^n=x^{\left(n+1\right)}, wobei x^nx=yx^{\left(y-1\right)}y^x, x=y, x^n=y^x und n=x.

Find the derivative d/dx((x^y)/(y^x))