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Beliebt Rechnen >

(\partial)/(\partial x)(xe^y-1)

Lösung

\frac{\partial}{\partial x} (x e^{y} - 1)

Lösung

e^{y}

Schritte zur Lösung

\frac{\partial}{\partial x} (x e^{y} - 1)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x e^{y}) - \frac{\partial}{\partial x} (1)

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

\frac{\partial}{\partial x} (1) = 0

= e^{y} - 0

Vereinfache

= e^{y}

Beliebte Beispiele

steigung x^2+y^2=27

s l o p e x^{2} + y^{2} = 27

integral from 1 to x of (e^{-3t})/t

\int_{1}^{x} \frac{e ^{- 3 t}}{t} d t

fläche 3x^2,(5,75)

a re a 3 x^{2}, (5, 75)

integral of (2-3sin(2x))/(cos(2x))

\int \frac{2 - 3 sin ( 2 x )}{cos ( 2 x )} d x

integral of 4/(x-5)

\int \frac{4}{x - 5} d x