Impara online a risolvere i problemi di passo dopo passo. d/dx(x^(1/2)loge(x)). Applicare la formula: \frac{d}{dx}\left(ab\right)=\frac{d}{dx}\left(a\right)b+a\frac{d}{dx}\left(b\right), dove d/dx=\frac{d}{dx}, ab=\sqrt{x}\log_{e}\left(x\right), a=\sqrt{x}, b=\log_{e}\left(x\right) e d/dx?ab=\frac{d}{dx}\left(\sqrt{x}\log_{e}\left(x\right)\right). Applicare la formula: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}. Applicare la formula: \frac{d}{dx}\left(\log_{a}\left(x\right)\right)=\frac{d}{dx}\left(\frac{\ln\left(x\right)}{\ln\left(a\right)}\right), dove a=e. Applicare la formula: \ln\left(x\right)=logf\left(x,e\right), dove x=e.

d/dx(x^(1/2)loge(x))