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Beliebt Rechnen >

derivative of csc(sqrt(x^2-1))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Graph

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