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^2+x-6

Lösung

ableitung von

f (x) = x^{2} + x - 6

Lösung

2 x + 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{2}) + \frac{d x}{d x} - \frac{d}{d x} (6)

\frac{d}{d x} (x^{2}) = 2 x

\frac{d x}{d x} = 1

\frac{d}{d x} (6) = 0

= 2 x + 1 - 0

Vereinfache

= 2 x + 1

Graph

Beliebte Beispiele

derivative of 5*sin(x)

\frac{d}{d x} (5 \cdot sin (x))

(dy)/(dt)=t^2-2

\frac{d y}{d t} = t^{2} - 2

integral of e^{ln(x)}x

\int e^{l n (x)} x d x

derivative f(x)=3x^2+5x+1

d er i v a t i v e f (x) = 3 x^{2} + 5 x + 1

derivative y= 1/((x^2-3)(x^2+3x+3))

d er i v a t i v e y = \frac{1}{( x ^{2} - 3 ) ( x ^{2} + 3 x + 3 )}