Learn how to solve problems step by step online. Find the derivative d/dx(((2x+3)^3)/(x^4(5x+1)^(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{\left(2x+3\right)^3}{x^4\sqrt{5x+1}}\right) und x=\frac{\left(2x+3\right)^3}{x^4\sqrt{5x+1}}. Wenden Sie die Formel an: y=x\to \ln\left(y\right)=\ln\left(x\right), wobei x=\frac{\left(2x+3\right)^3}{x^4\sqrt{5x+1}}. Wenden Sie die Formel an: y=x\to y=x, wobei x=\ln\left(\frac{\left(2x+3\right)^3}{x^4\sqrt{5x+1}}\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=3\ln\left(2x+3\right)-4\ln\left(x\right)-\frac{1}{2}\ln\left(5x+1\right).

Find the derivative d/dx(((2x+3)^3)/(x^4(5x+1)^(1/2)))