de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 4x^3-156x^2+1512x

Lösung

\frac{d}{d x} (4 x^{3} - 156 x^{2} + 1512 x)

Lösung

12 x^{2} - 312 x + 1512

Schritte zur Lösung

\frac{d}{d x} (4 x^{3} - 156 x^{2} + 1512 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (156 x^{2}) + \frac{d}{d x} (1512 x)

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (156 x^{2}) = 312 x

\frac{d}{d x} (1512 x) = 1512

= 12 x^{2} - 312 x + 1512

Graph

Beliebte Beispiele

derivative of ye^{x^2}

\frac{d}{d x} (y e^{x^{2}})

derivative 6cos(3x)

d er i v a t i v e 6 cos (3 x)

(dy)/(dx)=sqrt(xy^2)

\frac{d y}{d x} = x y^{2}

integral of ((sqrt(x^2-16)))/(x^3)

\int \frac{( x ^{2} - 16 )}{x ^{3}} d x

y^'=6y+2t-4,y(0)=3

y^{^{'}} = 6 y + 2 t - 4, y (0) = 3