de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative sin(1/(x^2))

Lösung

ableitung von

sin (\frac{1}{x ^{2}})

Lösung

- \frac{2 cos ( \frac{1}{x ^{2}} )}{x ^{3}}

Schritte zur Lösung

\frac{d}{d x} (sin (\frac{1}{x ^{2}}))

Wende die Kettenregel an:

cos (\frac{1}{x ^{2}}) \frac{d}{d x} (\frac{1}{x ^{2}})

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

\frac{d}{d x} (\frac{1}{x ^{2}}) = - \frac{2}{x ^{3}}

= cos (\frac{1}{x ^{2}}) (- \frac{2}{x ^{3}})

Vereinfache

cos (\frac{1}{x ^{2}}) (- \frac{2}{x ^{3}}) : - \frac{2 cos ( \frac{1}{x ^{2}} )}{x ^{3}}

= - \frac{2 cos ( \frac{1}{x ^{2}} )}{x ^{3}}

Graph

Beliebte Beispiele

f^{''}(x)=9x^3+4x^2+7x

limit as x approaches 0 of |x-2|+3

(\partial)/(\partial y)(sin(y)cos(y))

fläche y=12-x^2,y=-3x-16