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Beliebt Rechnen >

derivative of 1/(tan^2(x))

Lösung

\frac{d}{d x} (\frac{1}{tan ^{2} ( x )})

Lösung

- 2 csc^{2} (x) cot (x)

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{tan ^{2} ( x )})

Vereinfache

\frac{1}{tan ^{2} ( x )} : cot^{2} (x)

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

Wende die Kettenregel an:

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

= 2 cot (x) \frac{d}{d x} (cot (x))

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

= 2 cot (x) (- csc^{2} (x))

Vereinfache

= - 2 csc^{2} (x) cot (x)

Graph

Beliebte Beispiele

y^{''}-8y^'+15=0

y^{^{''}} - 8 y^{^{'}} + 15 = 0

derivative f(x)=tan(2x-x^3)

d er i v a t i v e f (x) = tan (2 x - x^{3})

derivative of cos(x-3tan(x))

\frac{d}{d x} (cos (x) - 3 tan (x))

integral of (x^3-1)

\int (x^{3} - 1) d x

derivative of (80/(x^2))

\frac{d}{d x} (\frac{80}{x ^{2}})