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

Lösung

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

- 2 e^{- x^{2} - y^{2}} x

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}) = - 2 x

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

Vereinfache

= - 2 e^{- x^{2} - y^{2}} x

\int 1 + cos (4 x) d x

\frac{d}{d x} (5 sin (x) - sin (5 x))

in v erse l a pl a ce \frac{e ^{- 6 s}}{s ^{2} + 2 s - 8}

\int \frac{4 x + x ^{2}}{x ^{2}} d x

\frac{\partial}{\partial x} (x yz - z - sin (x + y))