de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative e^{ln(1+1/k)}

Lösung

ableitung von

e^{l n (1 + \frac{1}{k})}

Lösung

- \frac{1}{k ^{2}}

Schritte zur Lösung

\frac{d}{d k} (e^{l n (1 + \frac{1}{k})})

Vereinfache

e^{l n (1 + \frac{1}{k})} : 1 + \frac{1}{k}

= \frac{d}{d k} (1 + \frac{1}{k})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d k} (1) + \frac{d}{d k} (\frac{1}{k})

\frac{d}{d k} (1) = 0

\frac{d}{d k} (\frac{1}{k}) = - \frac{1}{k ^{2}}

= 0 - \frac{1}{k ^{2}}

Vereinfache

= - \frac{1}{k ^{2}}

Graph

Beliebte Beispiele

derivative of xln(xcos(x))

\frac{d}{d x} (x ln (x) cos (x))

integral of 1/(3x)+cos(2x)-5x^2

\int \frac{1}{3 x} + cos (2 x) - 5 x^{2} d x

d/(dθ)(cot^2(sin(θ)))

\frac{d}{d θ} (cot^{2} (sin (θ)))

d/(dt)(e^{4t}cos(t))

\frac{d}{d t} (e^{4 t} cos (t))

derivative of (7x-4/(-3x+3))

\frac{d}{d x} (\frac{7 x - 4}{- 3 x + 3})