de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of sqrt(x^2-y^2)

Lösung

\frac{d}{d x} (x^{2} - y^{2})

Lösung

\frac{x - y \frac{d y}{d x}}{x ^{2} - y ^{2}}

Schritte zur Lösung

\frac{d}{d x} (x^{2} - y^{2})

Wende die Kettenregel an:

\frac{1}{2 x ^{2} - y ^{2}} \frac{d}{d x} (x^{2} - y^{2})

= \frac{1}{2 x ^{2} - y ^{2}} \frac{d}{d x} (x^{2} - y^{2})

\frac{d}{d x} (x^{2} - y^{2}) = 2 x - 2 y \frac{d y}{d x}

= \frac{1}{2 x ^{2} - y ^{2}} (2 x - 2 y \frac{d y}{d x})

Vereinfache

\frac{1}{2 x ^{2} - y ^{2}} (2 x - 2 y \frac{d y}{d x}) : \frac{x - y \frac{d y}{d x}}{x ^{2} - y ^{2}}

= \frac{x - y \frac{d y}{d x}}{x ^{2} - y ^{2}}

Beliebte Beispiele

integral of 2/(2x-3)

(dy)/(dx)=2y+x^2+5

(dy)/(dx)+(4/x)y=4x+9

laplacetransform 2e^{4t}