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)=3x^3+6x^2+7x

Lösung

ableitung von

f (x) = 3 x^{3} + 6 x^{2} + 7 x

Lösung

9 x^{2} + 12 x + 7

Schritte zur Lösung

\frac{d}{d x} (3 x^{3} + 6 x^{2} + 7 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x^{3}) + \frac{d}{d x} (6 x^{2}) + \frac{d}{d x} (7 x)

\frac{d}{d x} (3 x^{3}) = 9 x^{2}

\frac{d}{d x} (6 x^{2}) = 12 x

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

= 9 x^{2} + 12 x + 7

Graph

Beliebte Beispiele

integral of (2x^4+x^2-x-2)/(x^3(x+1))

\int \frac{2 x ^{4} + x ^{2} - x - 2}{x ^{3} ( x + 1 )} d x

integral of 2xsin(x)

\int 2 x sin (x) d x

y^'+8y=t+e^{-7t}

y^{^{'}} + 8 y = t + e^{- 7 t}

derivative 5x^3-6cos(x)

d er i v a t i v e 5 x^{3} - 6 cos (x)

tangent f(x)= 2/(x-8),(10,1)

t an g e n t f (x) = \frac{2}{x - 8}, (10, 1)