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Beliebt Rechnen >

derivative f(x)=csc^2(x)

Lösung

ableitung von

f (x) = csc^{2} (x)

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 2 csc (x) (- cot (x) csc (x))

Vereinfache

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

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

Graph

Beliebte Beispiele

integral of 1/(1-x)

\int \frac{1}{1 - x} d x

derivative of-2csc(x+4cot(x))

\frac{d}{d x} (- 2 csc (x) + 4 cot (x))

\frac{d P}{d t} = k \cdot P

(xy-1)dx+(x^2-xy)dy=0

(x y - 1) d x + (x^{2} - x y) d y = 0

(dy)/(dx)=y(10-y)

\frac{d y}{d x} = y (10 - y)