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Beliebt Rechnen >

derivative of 2/(tan(x))

Lösung

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

Lösung

- 2 csc^{2} (x)

Schritte zur Lösung

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

Vereinfache

\frac{2}{tan ( x )} : 2 cot (x)

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die allgemeine Ableitungsregel an:

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

= 2 (- csc^{2} (x))

Vereinfache

= - 2 csc^{2} (x)

Graph

Beliebte Beispiele

derivative x^3+5x^2-63x-140

d er i v a t i v e x^{3} + 5 x^{2} - 63 x - 140

25y^{''}-40y^'+16y=0,y(0)=3,y^'(0)=-2

25 y^{^{''}} - 40 y^{^{'}} + 16 y = 0, y (0) = 3, y^{^{'}} (0) = - 2

integral of cos(5x)5x)

\int cos (5 x) d (5 x) d x

derivative f(x)= 5/(x^4)

d er i v a t i v e f (x) = \frac{5}{x ^{4}}

derivative of 4-2sin(2x-pi/4)

\frac{d}{d x} (4 - 2 sin (2 x - \frac{π}{4}))