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})

x \to \frac{π}{2} lim (6 sec (x))

h \to 0 lim (m x + b)

x \to 0 lim (\frac{5}{2 x})

\frac{\partial}{\partial y} (- x sin (x y))

\int e^{\frac{t}{2}} cos (2 t) d t