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Beliebt Rechnen >

derivative of sin(5/x)

Lösung

\frac{d}{d x} (sin (\frac{5}{x}))

Lösung

- \frac{5 cos ( \frac{5}{x} )}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (sin (\frac{5}{x}))

Wende die Kettenregel an:

cos (\frac{5}{x}) \frac{d}{d x} (\frac{5}{x})

= cos (\frac{5}{x}) \frac{d}{d x} (\frac{5}{x})

\frac{d}{d x} (\frac{5}{x}) = - \frac{5}{x ^{2}}

= cos (\frac{5}{x}) (- \frac{5}{x ^{2}})

Vereinfache

cos (\frac{5}{x}) (- \frac{5}{x ^{2}}) : - \frac{5 cos ( \frac{5}{x} )}{x ^{2}}

= - \frac{5 cos ( \frac{5}{x} )}{x ^{2}}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(xcos(z))

\frac{\partial}{\partial x} (x cos (z))

derivative of 4x-5x^{9/10}

\frac{d}{d x} (4 x - 5 x^{\frac{9}{10}})

(3 t)^{^{'}}

fläche 2x^2,8x^2,5-3x,0

a re a 2 x^{2}, 8 x^{2}, 5 - 3 x, 0

(\partial)/(\partial x)(2/(3x+2y))

\frac{\partial}{\partial x} (\frac{2}{3 x + 2 y})