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

Lösung

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

= e^{- 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}

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

\int arccsc (x) d x

\frac{\partial}{\partial x} (7 x y^{4} + 2)

n = 1 \sum \infty (- \frac{10}{11})^{n}

\int \frac{50 x}{sec ( 5 x ^{2} + 5 )} d x

y^{^{'}} = x y^{3} - x y