Learn how to solve problems step by step online. d/dx(((x^2+3)/(x^2+4))^(1/6)). 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}{6} und x=\frac{x^2+3}{x^2+4}. Wenden Sie die Formel an: \left(\frac{a}{b}\right)^n=\left(\frac{b}{a}\right)^{\left|n\right|}, wobei a=x^2+3, b=x^2+4 und n=-\frac{5}{6}. 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^2+3 und b=x^2+4. Wenden Sie die Formel an: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, wobei a=1, b=6, c=\frac{d}{dx}\left(x^2+3\right)\left(x^2+4\right)-\left(x^2+3\right)\frac{d}{dx}\left(x^2+4\right), a/b=\frac{1}{6}, f=\left(x^2+4\right)^2, c/f=\frac{\frac{d}{dx}\left(x^2+3\right)\left(x^2+4\right)-\left(x^2+3\right)\frac{d}{dx}\left(x^2+4\right)}{\left(x^2+4\right)^2} und a/bc/f=\frac{1}{6}\sqrt[6]{\left(\frac{x^2+4}{x^2+3}\right)^{5}}\frac{\frac{d}{dx}\left(x^2+3\right)\left(x^2+4\right)-\left(x^2+3\right)\frac{d}{dx}\left(x^2+4\right)}{\left(x^2+4\right)^2}.

d/dx(((x^2+3)/(x^2+4))^(1/6))