(\partial)/(\partial x)(e^x+e^y)

Lösung

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

e^{x}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{\partial}{\partial x} (e^{y}) = 0

= e^{x} + 0

Vereinfache

= e^{x}

\int (\frac{3}{x ^{4}}) d x

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

\frac{d ^{2}}{d x ^{2}} (\frac{x}{x + 1})

\int_{0}^{1} x 4 - x^{2} d x

\int (x^{2} + 3 x - 1)^{4} (2 x + 3) d x