de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative f(x)=x^8-9e^{3x}

Lösung

ableitung von

f (x) = x^{8} - 9 e^{3 x}

Lösung

8 x^{7} - 27 e^{3 x}

Schritte zur Lösung

\frac{d}{d x} (x^{8} - 9 e^{3 x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{8}) - \frac{d}{d x} (9 e^{3 x})

\frac{d}{d x} (x^{8}) = 8 x^{7}

\frac{d}{d x} (9 e^{3 x}) = 27 e^{3 x}

= 8 x^{7} - 27 e^{3 x}

Graph

Beliebte Beispiele

integral from 0 to pi of cos(t)

\int_{0}^{π} cos (t) d t

derivative of 2x^3-12x^2+18x

\frac{d}{d x} (2 x^{3} - 12 x^{2} + 18 x)

limit as x approaches 3 of (-4)x

x \to 3 lim ((- 4) x)

(dx)/(dy)+800y=400

\frac{d x}{d y} + 800 y = 400

derivative of (x-3(x^3-2))

\frac{d}{d x} ((x - 3) (x^{3} - 2))