de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

f^'(x)=x^3(x^4-1)

Lösung

f^{^{'}} (x) = x^{3} (x^{4} - 1)

Lösung

f (x) = \frac{x ^{8}}{8} - \frac{x ^{4}}{4} + c_{1}

Schritte zur Lösung

f^{'} (x) = x^{3} (x^{4} - 1)

Wenn

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

dann

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

f (x) = \int x^{3} (x^{4} - 1) d x

\int x^{3} (x^{4} - 1) d x = \frac{x ^{8}}{8} - \frac{x ^{4}}{4} + c_{1}

f (x) = \frac{x ^{8}}{8} - \frac{x ^{4}}{4} + c_{1}

Graph

Beliebte Beispiele

limit as x approaches 0 of 1/(1+5^{2/x)}

x \to 0 lim (\frac{1}{1 + 5 ^{\frac{2}{x}}})

integral of sin(1/3 x)

\int sin (\frac{1}{3} x) d x

(\partial)/(\partial x)(2sin(3x))

\frac{\partial}{\partial x} (2 sin (3 x))

derivative of cos^3(3x)

\frac{d}{d x} (cos^{3} (3 x))

f(x)=sqrt(3x+7)

f (x) = 3 x + 7