Learn how to solve problems step by step online. d/dx(((x-5)/(x+3))^(1/7)). 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=\frac{1}{7} und x=\frac{x-5}{x+3}. Wenden Sie die Formel an: \left(\frac{a}{b}\right)^n=\left(\frac{b}{a}\right)^{\left|n\right|}, wobei a=x-5, b=x+3 und n=-\frac{6}{7}. 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-5 und b=x+3. Wenden Sie die Formel an: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, wobei a=1, b=7, c=\frac{d}{dx}\left(x-5\right)\left(x+3\right)-\left(x-5\right)\frac{d}{dx}\left(x+3\right), a/b=\frac{1}{7}, f=\left(x+3\right)^2, c/f=\frac{\frac{d}{dx}\left(x-5\right)\left(x+3\right)-\left(x-5\right)\frac{d}{dx}\left(x+3\right)}{\left(x+3\right)^2} und a/bc/f=\frac{1}{7}\sqrt[7]{\left(\frac{x+3}{x-5}\right)^{6}}\frac{\frac{d}{dx}\left(x-5\right)\left(x+3\right)-\left(x-5\right)\frac{d}{dx}\left(x+3\right)}{\left(x+3\right)^2}.

d/dx(((x-5)/(x+3))^(1/7))