Impara online a risolvere i problemi di passo dopo passo. Find the derivative d/dx(1/(4x^(1/2)(1+x^(1/2))^(1/2))). 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{1}{4\sqrt{x}\sqrt{1+\sqrt{x}}}\right) e x=\frac{1}{4\sqrt{x}\sqrt{1+\sqrt{x}}}. Applicare la formula: y=x\to \ln\left(y\right)=\ln\left(x\right), dove x=\frac{1}{4\sqrt{x}\sqrt{1+\sqrt{x}}}. Applicare la formula: y=x\to y=x, dove x=\ln\left(\frac{1}{4\sqrt{x}\sqrt{1+\sqrt{x}}}\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=\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)))