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Beliebt Rechnen >

derivative of arccos(7/x)

Lösung

\frac{d}{d x} (arccos (\frac{7}{x}))

Lösung

\frac{7}{x x ^{2} - 49}

Schritte zur Lösung

\frac{d}{d x} (arccos (\frac{7}{x}))

Wende die Kettenregel an:

- \frac{1}{1 - ( \frac{7}{x} ) ^{2}} \frac{d}{d x} (\frac{7}{x})

= - \frac{1}{1 - ( \frac{7}{x} ) ^{2}} \frac{d}{d x} (\frac{7}{x})

\frac{d}{d x} (\frac{7}{x}) = - \frac{7}{x ^{2}}

= - \frac{1}{1 - ( \frac{7}{x} ) ^{2}} (- \frac{7}{x ^{2}})

Vereinfache

- \frac{1}{1 - ( \frac{7}{x} ) ^{2}} (- \frac{7}{x ^{2}}) : \frac{7}{x x ^{2} - 49}

= \frac{7}{x x ^{2} - 49}

Graph

Beliebte Beispiele

integral of 4/(3x^2sqrt(5-7x^2))

\int \frac{4}{3 x ^{2} 5 - 7 x ^{2}} d x

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