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Beliebt Rechnen >

derivative of arccos(3/x)

Lösung

\frac{d}{d x} (arccos (\frac{3}{x}))

Lösung

\frac{3}{x x ^{2} - 9}

Schritte zur Lösung

\frac{d}{d x} (arccos (\frac{3}{x}))

Wende die Kettenregel an:

- \frac{1}{1 - ( \frac{3}{x} ) ^{2}} \frac{d}{d x} (\frac{3}{x})

= - \frac{1}{1 - ( \frac{3}{x} ) ^{2}} \frac{d}{d x} (\frac{3}{x})

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

= - \frac{1}{1 - ( \frac{3}{x} ) ^{2}} (- \frac{3}{x ^{2}})

Vereinfache

- \frac{1}{1 - ( \frac{3}{x} ) ^{2}} (- \frac{3}{x ^{2}}) : \frac{3}{x x ^{2} - 9}

= \frac{3}{x x ^{2} - 9}

Graph

Beliebte Beispiele

7 y^{^{''}} + 4 y^{^{'}} = 0

integral of (t^2+2)^3

\int (t^{2} + 2)^{3} d t

d/(dt)(6sin(t))

\frac{d}{d t} (6 sin (t))

t an g e n t y = 4 x^{2}

limit as x approaches-2 of (x^2-1)(7x+3)

x \to - 2 lim ((x^{2} - 1) (7 x + 3))