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Beliebt Rechnen >

derivative of arccot(x/2)

Lösung

\frac{d}{d x} (arccot (\frac{x}{2}))

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (arccot (\frac{x}{2}))

Wende die Kettenregel an:

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

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

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

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

Vereinfache

- \frac{1}{( \frac{x}{2} ) ^{2} + 1} \cdot \frac{1}{2} : - \frac{2}{x ^{2} + 4}

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

Graph

Beliebte Beispiele

tangent f(x)=7-x^2

t an g e n t f (x) = 7 - x^{2}

derivative of sqrt(x^2-\sqrt{2x)}

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

derivative of (x-4/(3x-x^2))

\frac{d}{d x} (\frac{x - 4}{3 x - x ^{2}})

integral of sqrt(2+2cos(x))

\int 2 + 2 cos (x) d x

fläche y=2x^2,y=8x^2,5x+y=3

a re a y = 2 x^{2}, y = 8 x^{2}, 5 x + y = 3