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Beliebt Rechnen >

derivative of sqrt(5x-x^2)

Lösung

\frac{d}{d x} (5 x - x^{2})

Lösung

\frac{5 - 2 x}{2 5 x - x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (5 x - x^{2})

Wende die Kettenregel an:

\frac{1}{2 5 x - x ^{2}} \frac{d}{d x} (5 x - x^{2})

= \frac{1}{2 5 x - x ^{2}} \frac{d}{d x} (5 x - x^{2})

\frac{d}{d x} (5 x - x^{2}) = 5 - 2 x

= \frac{1}{2 5 x - x ^{2}} (5 - 2 x)

Vereinfache

\frac{1}{2 5 x - x ^{2}} (5 - 2 x) : \frac{5 - 2 x}{2 5 x - x ^{2}}

= \frac{5 - 2 x}{2 5 x - x ^{2}}

Graph

Beliebte Beispiele

limit as x approaches 3 of 7

x \to 3 lim (7)

limit as x approaches 1+of (x^2-1)/(x-1)

x \to 1 + lim (\frac{x ^{2} - 1}{x - 1})

y^'=(2-e^x)/(3+2y)

y^{^{'}} = \frac{2 - e ^{x}}{3 + 2 y}

integral of e^{(-x)/(10)}

\int e^{\frac{- x}{10}} d x

y^'= y/x+tan(y/x)

y^{^{'}} = \frac{y}{x} + tan (\frac{y}{x})