de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative x/4-4/x

Lösung

ableitung von

\frac{x}{4} - \frac{4}{x}

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (\frac{x}{4} - \frac{4}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x}{4}) - \frac{d}{d x} (\frac{4}{x})

\frac{d}{d x} (\frac{x}{4}) = \frac{1}{4}

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

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

Vereinfache

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

Graph

Beliebte Beispiele

x^2(dy)/(dx)-2xy=6y^4,y(1)= 1/3

x^{2} \frac{d y}{d x} - 2 x y = 6 y^{4}, y (1) = \frac{1}{3}

limit as x approaches infinity of 7x

x \to \infty lim (7 x)

integral of 1/(x+7)

\int \frac{1}{x + 7} d x

integral from 4 to 5 of x/8

\int_{4}^{5} \frac{x}{8} d x

integral of ln(a+bx)

\int ln (a + b x) d x