(\partial)/(\partial x)(e^ye^x)

Lösung

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

e^{y + x}

Schritte zur Lösung

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

Vereinfache

e^{y} e^{x} : e^{y + x}

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

Behandle

y

als Konstante

Wende die Kettenregel an:

e^{y + x} \frac{\partial}{\partial x} (y + x)

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

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

= e^{y + x} \cdot 1

Vereinfache

= e^{y + x}

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

l a pl a ce t r an s f or m - 2 t

\frac{\partial}{\partial x} (ln (\frac{x + y}{x - y}))

\int_{0}^{1} v^{2} cos (v^{3}) d v

\frac{d}{d x} ((\frac{d}{d x} (x^{3}))^{2})