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

Find the derivative d/dx(-1/(4x^(1/2)(1+x^(1/2))^(1/2)))