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Beliebt Rechnen >

derivative cos(2/x)

Lösung

ableitung von

cos (\frac{2}{x})

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

- sin (\frac{2}{x}) \frac{d}{d x} (\frac{2}{x})

= - sin (\frac{2}{x}) \frac{d}{d x} (\frac{2}{x})

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

= - sin (\frac{2}{x}) (- \frac{2}{x ^{2}})

Vereinfache

- sin (\frac{2}{x}) (- \frac{2}{x ^{2}}) : \frac{2 sin ( \frac{2}{x} )}{x ^{2}}

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

Graph

Beliebte Beispiele

integral of sin(4x-2)

\int sin (4 x - 2) d x

derivative h(x)=xcos(x)+3pi

d er i v a t i v e h (x) = x cos (x) + 3 π

limit as x approaches 4 of cos((pix)/3)

x \to 4 lim (cos (\frac{π x}{3}))

integral of (4e^x)/(e^{2x)+6e^x+9}

\int \frac{4 e ^{x}}{e ^{2 x} + 6 e ^{x} + 9} d x

derivative y=3.6sqrt(x)+500

d er i v a t i v e y = 3.6 x + 500