derivative of arccos((10/x))

Lösung

\frac{d}{d x} (arccos (\frac{10}{x}))

\frac{10}{x x ^{2} - 100}

Schritte zur Lösung

\frac{d}{d x} (arccos (\frac{10}{x}))

Wende die Kettenregel an:

- \frac{1}{1 - ( \frac{10}{x} ) ^{2}} \frac{d}{d x} (\frac{10}{x})

= - \frac{1}{1 - ( \frac{10}{x} ) ^{2}} \frac{d}{d x} (\frac{10}{x})

\frac{d}{d x} (\frac{10}{x}) = - \frac{10}{x ^{2}}

= - \frac{1}{1 - ( \frac{10}{x} ) ^{2}} (- \frac{10}{x ^{2}})

Vereinfache

- \frac{1}{1 - ( \frac{10}{x} ) ^{2}} (- \frac{10}{x ^{2}}) : \frac{10}{x x ^{2} - 100}

= \frac{10}{x x ^{2} - 100}

d er i v a t i v e f (x) = e^{x} - 6 x^{5}

d er i v a t i v e 2 + 3 + cos^{2} (x)

\frac{\partial}{\partial x} (ln (y^{x^{2}}))

t y^{^{'}} + 4 y = 0

\int \frac{1}{y ^{2} + 3} d y