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Beliebt Rechnen >

derivative of 1/(-sin(x))

Lösung

\frac{d}{d x} (\frac{1}{- sin ( x )})

Lösung

cot (x) csc (x)

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{- sin ( x )})

Vereinfache

\frac{1}{- sin ( x )} : - csc (x)

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

Entferne die Konstante:

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

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

Wende die allgemeine Ableitungsregel an:

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

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

Vereinfache

= cot (x) csc (x)

Graph

Beliebte Beispiele

derivative of \sqrt[4]{2x^2-4x+7}

\frac{d}{d x} (4 2 x^{2} - 4 x + 7)

integral of ((1-((x^2)/9)))^{1/2}

\int ((1 - (\frac{x ^{2}}{9})))^{\frac{1}{2}} d x

d/(dy)(x^2+y^3)

\frac{d}{d y} (x^{2} + y^{3})

integral of (x+2)(x-5)

\int (x + 2) (x - 5) d x

derivative of e^{(x^4/(10)})

\frac{d}{d x} (e^{\frac{x ^{4}}{10}})