de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{1}{y}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= \frac{1}{y} + 0

Vereinfache

= \frac{1}{y}

Beliebte Beispiele

integral of sin(3x)cos(x)

\int sin (3 x) cos (x) d x

integral of pi/4 x-xarctan(x)

\int \frac{π}{4} x - x arctan (x) d x

integral of cos(8x^2+pi)

\int cos (8 x^{2} + π) d x

integral of ((x^6+3x^4-2x)/(x^4))

\int (\frac{x ^{6} + 3 x ^{4} - 2 x}{x ^{4}}) d x

2x(1+y^2)dx-y(1+2x^2)dy=0

2 x (1 + y^{2}) d x - y (1 + 2 x^{2}) d y = 0