de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(\partial)/(\partial w)(te^{w/t})

Lösung

\frac{\partial}{\partial w} (t e^{\frac{w}{t}})

Lösung

e^{\frac{w}{t}}

Schritte zur Lösung

\frac{\partial}{\partial w} (t e^{\frac{w}{t}})

Behandle

t

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= t \frac{\partial}{\partial w} (e^{\frac{w}{t}})

Wende die Kettenregel an:

e^{\frac{w}{t}} \frac{\partial}{\partial w} (\frac{w}{t})

= e^{\frac{w}{t}} \frac{\partial}{\partial w} (\frac{w}{t})

\frac{\partial}{\partial w} (\frac{w}{t}) = \frac{1}{t}

= t e^{\frac{w}{t}} \frac{1}{t}

Vereinfache

t e^{\frac{w}{t}} \frac{1}{t} : e^{\frac{w}{t}}

= e^{\frac{w}{t}}

Beliebte Beispiele

integral of (xe^{3x})/2

\int \frac{x e ^{3 x}}{2} d x

integral from k to 2k of 2/((2x-k)^2)

\int_{k}^{2 k} \frac{2}{( 2 x - k ) ^{2}} d x

integral of (sec(x))/(sec(x)-cos(x))

\int \frac{sec ( x )}{sec ( x ) - cos ( x )} d x

derivative of-18

\frac{d}{d x} (- 18)

integral of (sqrt(x))/(2x)

\int \frac{x}{2 x} d x