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Beliebt Rechnen >

derivative of sqrt(csc(x))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

integral of 15cos(15x)

\int 15 cos (15 x) d x

derivative f(x)=9x-10x^{1/4}

d er i v a t i v e f (x) = 9 x - 10 x^{\frac{1}{4}}

integral of 1/(cos(y))

\int \frac{1}{cos ( y )} d y

integral from 0 to 0.75 of 2x

\int_{0}^{0.75} 2 x d x

derivative of Ax^{-1/2}

\frac{d}{d x} (A x^{- \frac{1}{2}})