de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

3 x^{2} - 2 x - 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

\frac{d}{d x} (2) = 0

= 3 x^{2} - 2 x - 1 + 0

Vereinfache

= 3 x^{2} - 2 x - 1

Graph

Beliebte Beispiele

derivative of arcsin(3xln(sqrt(x+1)))

\frac{d}{d x} (arcsin (3 x) ln (x + 1))

integral of 3xzy+xy^2+2zx^2

\int 3 x zy + x y^{2} + 2 z x^{2}

derivative of log_{x}(x^2+1)

\frac{d}{d x} (lo g_{x} (x^{2} + 1))

integral of ((x^2+4))/((x-5)(x^2+9))

\int \frac{( x ^{2} + 4 )}{( x - 5 ) ( x ^{2} + 9 )} d x

integral of x^4e^{(1-x^5)}

\int x^{4} e^{(1 - x^{5})} d x