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Beliebt Rechnen >

derivative of (x^3-x/x)

Lösung

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

Lösung

2 x

Schritte zur Lösung

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

Vereinfache

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

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 x - 0

Vereinfache

= 2 x

Graph

Beliebte Beispiele

derivative of 4/((x^3+9^5))

\frac{d}{d x} (\frac{4}{( x ^{3} + 9 ) ^{5}})

(dx)/(dt)+2t^5x^7+x/t =0

\frac{d x}{d t} + 2 t^{5} x^{7} + \frac{x}{t} = 0

sum from n=0 to infinity of e^{-6n}

n = 0 \sum \infty e^{- 6 n}

steigung (7,-4),(8,8)

s l o p e (7, - 4), (8, 8)

derivative of (-ln(1+6x)/x)

\frac{d}{d x} (\frac{- ln ( 1 + 6 x )}{x})