derivative y=arccos((11)/x)

Lösung

ableitung von

y = arccos (\frac{11}{x})

\frac{11 x ^{2}}{x ^{2} x ^{2} - 121}

Schritte zur Lösung

\frac{d}{d x} (arccos (\frac{11}{x}))

Wende die Kettenregel an:

- \frac{1}{1 - ( \frac{11}{x} ) ^{2}} \frac{d}{d x} (\frac{11}{x})

= - \frac{1}{1 - ( \frac{11}{x} ) ^{2}} \frac{d}{d x} (\frac{11}{x})

\frac{d}{d x} (\frac{11}{x}) = - \frac{11}{x ^{2}}

= - \frac{1}{1 - ( \frac{11}{x} ) ^{2}} (- \frac{11}{x ^{2}})

Vereinfache

- \frac{1}{1 - ( \frac{11}{x} ) ^{2}} (- \frac{11}{x ^{2}}) : \frac{11 x ^{2}}{x ^{2} x ^{2} - 121}

= \frac{11 x ^{2}}{x ^{2} x ^{2} - 121}

\int x e^{x} y d x

\int_{1}^{l n (x)} \frac{1}{t} d t

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

t an g e n t y = \frac{x ^{2}}{x + 3}, (2, \frac{4}{5})

d er i v a t i v e f (x) = 4 x^{2} + 1