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^3/3-1/(4x))

Lösung

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

Lösung

x^{2} + \frac{1}{4 x ^{2}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (\frac{1}{4 x}) = - \frac{1}{4 x ^{2}}

= x^{2} - (- \frac{1}{4 x ^{2}})

Vereinfache

= x^{2} + \frac{1}{4 x ^{2}}

Graph

Beliebte Beispiele

derivative of-0.5x

\frac{d}{d x} (- 0.5 x)

derivative of 5arctan(x)

\frac{d}{d x} (5 arctan (x))

integral from 3 to 6 of x/(x^2+4x+20)

\int_{3}^{6} \frac{x}{x ^{2} + 4 x + 20} d x

integral of 8x^9-3x^6+12x^3

\int 8 x^{9} - 3 x^{6} + 12 x^{3} d x

(\partial)/(\partial x)((x-1)^{2/3}(y-4))

\frac{\partial}{\partial x} ((x - 1)^{\frac{2}{3}} (y - 4))