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^2+x^3/(x^2))

Lösung

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

Lösung

1

Schritte zur Lösung

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

Vereinfache

\frac{x ^{2} + x ^{3}}{x ^{2}} : 1 + x

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (1) = 0

\frac{d x}{d x} = 1

= 0 + 1

Vereinfache

= 1

Graph

Beliebte Beispiele

derivative of picos(x)

\frac{d}{d x} (π cos (x))

fläche e^x,e^{-3x},x=ln(5)

a re a e^{x}, e^{- 3 x}, x = ln (5)

integral of (x+5)/(x^2+9)

\int \frac{x + 5}{x ^{2} + 9} d x

derivative 1/(x-8)

d er i v a t i v e \frac{1}{x - 8}

integral of (6x^3+2x^2-45x-15)/(x^2-9)

\int \frac{6 x ^{3} + 2 x ^{2} - 45 x - 15}{x ^{2} - 9} d x