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Beliebt Rechnen >

derivative of sqrt(csc(2x))

Lösung

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

Lösung

- cot (2 x) csc (2 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{2 csc ( 2 x )} \frac{d}{d x} (csc (2 x))

= \frac{1}{2 csc ( 2 x )} \frac{d}{d x} (csc (2 x))

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

= \frac{1}{2 csc ( 2 x )} (- cot (2 x) csc (2 x) \cdot 2)

Vereinfache

\frac{1}{2 csc ( 2 x )} (- cot (2 x) csc (2 x) \cdot 2) : - cot (2 x) csc (2 x)

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

Graph

Beliebte Beispiele

(dy)/(dx)=-(sqrt(x))/(4y)

\frac{d y}{d x} = - \frac{x}{4 y}

derivative of cos(x-pi/6)

\frac{d}{d x} (cos (x - \frac{π}{6}))

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d er i v a t i v e y = (1 - 5 x)^{6}

integral of 5/(36+x^2)

\int \frac{5}{36 + x ^{2}} d x

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\int_{- 1}^{4} \frac{7 y}{y ^{2} - 3 y - 10} d y