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Beliebt Rechnen >

derivative of-3cot(1-x^2)

Lösung

\frac{d}{d x} (- 3 cot (1 - x^{2}))

Lösung

- 6 x csc^{2} (1 - x^{2})

Schritte zur Lösung

\frac{d}{d x} (- 3 cot (1 - x^{2}))

Entferne die Konstante:

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

= - 3 \frac{d}{d x} (cot (1 - x^{2}))

Wende die Kettenregel an:

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

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

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

= - 3 (- csc^{2} (1 - x^{2}) (- 2 x))

Vereinfache

= - 6 x csc^{2} (1 - x^{2})

Graph

Beliebte Beispiele

limit as x approaches 0 of 3-1/x

x \to 0 lim (3 - \frac{1}{x})

f (x) = π^{x}

derivative of xsqrt(x^2-3x+2)

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

integral of sqrt(9x-5)

\int 9 x - 5 d x

limit as x approaches-1 of 6x+5

x \to - 1 lim (6 x + 5)