derivative of arccos(6/x)

Lösung

\frac{d}{d x} (arccos (\frac{6}{x}))

\frac{6}{x x ^{2} - 36}

Schritte zur Lösung

\frac{d}{d x} (arccos (\frac{6}{x}))

Wende die Kettenregel an:

- \frac{1}{1 - ( \frac{6}{x} ) ^{2}} \frac{d}{d x} (\frac{6}{x})

= - \frac{1}{1 - ( \frac{6}{x} ) ^{2}} \frac{d}{d x} (\frac{6}{x})

\frac{d}{d x} (\frac{6}{x}) = - \frac{6}{x ^{2}}

= - \frac{1}{1 - ( \frac{6}{x} ) ^{2}} (- \frac{6}{x ^{2}})

Vereinfache

- \frac{1}{1 - ( \frac{6}{x} ) ^{2}} (- \frac{6}{x ^{2}}) : \frac{6}{x x ^{2} - 36}

= \frac{6}{x x ^{2} - 36}

\frac{\partial}{\partial v} (e^{u (v)} + sin (v))

\int_{1}^{2} (- y^{3} + 2 y^{2} + 5 y - 6) d y

\int_{- 3}^{3} ∣ 2 x - 1 ∣ d x

\int 3 x^{2} x^{3} + 1 d x

\int_{0}^{1} 4 x^{3} e^{x^{4}} d x