Aprenda online a resolver problemas passo a passo. Encontre a derivada d/dx((x^(3/4)(x^2+1)^(1/2))/((2x+1)^3)). 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{\sqrt[4]{x^{3}}\sqrt{x^2+1}}{\left(2x+1\right)^3}\right) e x=\frac{\sqrt[4]{x^{3}}\sqrt{x^2+1}}{\left(2x+1\right)^3}. Aplicamos a regra: y=x\to \ln\left(y\right)=\ln\left(x\right), onde x=\frac{\sqrt[4]{x^{3}}\sqrt{x^2+1}}{\left(2x+1\right)^3}. Aplicamos a regra: y=x\to y=x, onde x=\ln\left(\frac{\sqrt[4]{x^{3}}\sqrt{x^2+1}}{\left(2x+1\right)^3}\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=\frac{3}{4}\ln\left(x\right)+\frac{1}{2}\ln\left(x^2+1\right)-3\ln\left(2x+1\right).

Encontre a derivada d/dx((x^(3/4)(x^2+1)^(1/2))/((2x+1)^3))