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Beliebt Rechnen >

derivative y=sqrt(2x-x^2)

Lösung

ableitung von

y = 2 x - x^{2}

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

\frac{1}{2 2 x - x ^{2}} (2 - 2 x) : \frac{1 - x}{2 x - x ^{2}}

= \frac{1 - x}{2 x - x ^{2}}

Graph

Beliebte Beispiele

d/(dθ)(2+2sin(θ))

\frac{d}{d θ} (2 + 2 sin (θ))

integral of cos^2(pit)sin(pit)

\int cos^{2} (π t) sin (π t) d t

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\frac{d}{d x} (\frac{3 x}{x + 1})

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d er i v a t i v e x^{2} e^{- 7 x}

fläche y=5x,y= 5/x ,x=5

a re a y = 5 x, y = \frac{5}{x}, x = 5