de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

f^'(x)=6x^2-8x,f(3)=27

Lösung

f^{^{'}} (x) = 6 x^{2} - 8 x, f (3) = 27

Lösung

f (x) = 2 x^{3} - 4 x^{2} + 9

Schritte zur Lösung

f^{'} (x) = 6 x^{2} - 8 x

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

f (x) = \int 6 x^{2} - 8 x d x

\int 6 x^{2} - 8 x d x = 2 x^{3} - 4 x^{2} + c_{1}

f (x) = 2 x^{3} - 4 x^{2} + c_{1}

Wende die Anfangsbedingung an:

f (x) = 2 x^{3} - 4 x^{2} + 9

f (x) = 2 x^{3} - 4 x^{2} + 9

Graph

Beliebte Beispiele

limit as x approaches-9 of (-3x)/(x+9)

x \to - 9 lim (\frac{- 3 x}{x + 9})

d/(dt)(asin^3(t))

\frac{d}{d t} (a sin^{3} (t))

(d^2)/(dx^2)(sqrt(x)-2/x)

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

(\partial)/(\partial y)(x^2-xy-y^2)

\frac{\partial}{\partial y} (x^{2} - x y - y^{2})

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

\int \frac{3 x ^{3} - x}{x} d x