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