Impara online a risolvere i problemi di equazioni differenziali passo dopo passo. Find the derivative d/dx((x^2(x+1)^(1/2))/((x-1)^3)). Applicare la formula: \frac{d}{dx}\left(x\right)=y=x, dove d/dx=\frac{d}{dx}, d/dx?x=\frac{d}{dx}\left(\frac{x^2\sqrt{x+1}}{\left(x-1\right)^3}\right) e x=\frac{x^2\sqrt{x+1}}{\left(x-1\right)^3}. Applicare la formula: y=x\to \ln\left(y\right)=\ln\left(x\right), dove x=\frac{x^2\sqrt{x+1}}{\left(x-1\right)^3}. Applicare la formula: y=x\to y=x, dove x=\ln\left(\frac{x^2\sqrt{x+1}}{\left(x-1\right)^3}\right) e y=\ln\left(y\right). Applicare la formula: \ln\left(y\right)=x\to \frac{d}{dx}\left(\ln\left(y\right)\right)=\frac{d}{dx}\left(x\right), dove x=2\ln\left(x\right)+\frac{1}{2}\ln\left(x+1\right)-3\ln\left(x-1\right).

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