de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(\partial)/(\partial x)(e^{x^{2-y^2}})

Lösung

\frac{\partial}{\partial x} (e^{x^{2 - y^{2}}})

Lösung

e^{x^{2 - y^{2}}} x^{- y^{2} + 1} (2 - y^{2})

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{x^{2 - y^{2}}})

Behandle

y

als Konstante

Wende die Kettenregel an:

e^{x^{2 - y^{2}}} \frac{\partial}{\partial x} (x^{2 - y^{2}})

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

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

= e^{x^{2 - y^{2}}} x^{- y^{2} + 1} (2 - y^{2})

Beliebte Beispiele

derivative y=ln(30)+30^{x+4}

d er i v a t i v e y = ln (30) + 3 0^{x + 4}

integral of 3x-8

\int 3 x - 8 d x

(dQ)/(dt)=1-Q/(50)

\frac{d Q}{d t} = 1 - \frac{Q}{50}

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

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

integral of (3x)/(6x^2+9)

\int \frac{3 x}{6 x ^{2} + 9} d x