Esercizio
$\frac{d}{dx}\left(xy=x^{2x-y}\right)$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. d/dx(xy=x^(2x-y)). Applicare la formula: \frac{d}{dx}\left(a=b\right)=\frac{d}{dx}\left(a\right)=\frac{d}{dx}\left(b\right), dove a=xy e b=x^{\left(2x-y\right)}. 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=xy, a=x, b=y e d/dx?ab=\frac{d}{dx}\left(xy\right). Applicare la formula: \frac{d}{dx}\left(x\right)=1. Applicare la formula: a^{\left(b+c\right)}=a^ba^c.
Risposta finale al problema
$y+xy^{\prime}=2\left(\ln\left(x\right)+1\right)x^{\left(2x-y\right)}+\frac{-x^{\left(-2y-1+2x\right)}}{1+x^{-y}\ln\left(x\right)}$