derivative of arctan((0.9/x))

Lösung

\frac{d}{d x} (arctan (\frac{0.9}{x}))

- \frac{0.9}{0.81 + x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (arctan (\frac{0.9}{x}))

Wende die Kettenregel an:

\frac{1}{( \frac{0.9}{x} ) ^{2} + 1} \frac{d}{d x} (\frac{0.9}{x})

= \frac{1}{( \frac{0.9}{x} ) ^{2} + 1} \frac{d}{d x} (\frac{0.9}{x})

\frac{d}{d x} (\frac{0.9}{x}) = - \frac{0.9}{x ^{2}}

= \frac{1}{( \frac{0.9}{x} ) ^{2} + 1} (- \frac{0.9}{x ^{2}})

Vereinfache

\frac{1}{( \frac{0.9}{x} ) ^{2} + 1} (- \frac{0.9}{x ^{2}}) : - \frac{0.9}{0.81 + x ^{2}}

= - \frac{0.9}{0.81 + x ^{2}}

d er i v a t i v e \frac{42}{x}

x \to - 2 lim (3 x + 8)

d er i v a t i v e y = e^{- x^{9}}

\int \frac{cos ( 2 x )}{cos ^{2} ( x )} d x

\int 7 csc (x) cot (x) d x