Aprenda online a resolver problemas diferenciação logarítmica passo a passo. Encontre a derivada d/dx((x(x^3+3)^(1/2))/((x+1)^2)). Aplicamos a regra: \frac{d}{dx}\left(x\right)=y=x, onde d/dx=\frac{d}{dx}, d/dx?x=\frac{d}{dx}\left(\frac{x\sqrt{x^3+3}}{\left(x+1\right)^2}\right) e x=\frac{x\sqrt{x^3+3}}{\left(x+1\right)^2}. Aplicamos a regra: y=x\to \ln\left(y\right)=\ln\left(x\right), onde x=\frac{x\sqrt{x^3+3}}{\left(x+1\right)^2}. Aplicamos a regra: y=x\to y=x, onde x=\ln\left(\frac{x\sqrt{x^3+3}}{\left(x+1\right)^2}\right) e y=\ln\left(y\right). Aplicamos a regra: \ln\left(y\right)=x\to \frac{d}{dx}\left(\ln\left(y\right)\right)=\frac{d}{dx}\left(x\right), onde x=\ln\left(x\right)+\frac{1}{2}\ln\left(x^3+3\right)-2\ln\left(x+1\right).

Encontre a derivada d/dx((x(x^3+3)^(1/2))/((x+1)^2))