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Beliebt Rechnen >

derivative of x+2/(sin(x))

Lösung

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

Lösung

1 - 2 cot (x) csc (x)

Schritte zur Lösung

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

Vereinfache

x + \frac{2}{sin ( x )} : x + 2 csc (x)

= \frac{d}{d x} (x + 2 csc (x))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d x}{d x} + \frac{d}{d x} (2 csc (x))

\frac{d x}{d x} = 1

\frac{d}{d x} (2 csc (x)) = - 2 cot (x) csc (x)

= 1 - 2 cot (x) csc (x)

Graph

Beliebte Beispiele

integral from 0 to pi/2 of 24x^2sin(x)

\int_{0}^{\frac{π}{2}} 24 x^{2} sin (x) d x

limit as x approaches 0-of 3/(x^2-x)

x \to 0 - lim (\frac{3}{x ^{2} - x})

integral of (-x-8)/(x^2+9)

\int \frac{- x - 8}{x ^{2} + 9} d x

integral of 15arctan(x)

\int 15 arctan (x) d x

integral of (ln(x^{14}))/x

\int \frac{ln ( x ^{14} )}{x} d x