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Beliebt Rechnen >

derivative of 1/(sin(3x))

Lösung

\frac{d}{d x} (\frac{1}{sin ( 3 x )})

Lösung

- cot (3 x) csc (3 x) \cdot 3

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{sin ( 3 x )})

Vereinfache

\frac{1}{sin ( 3 x )} : csc (3 x)

= \frac{d}{d x} (csc (3 x))

Wende die Kettenregel an:

- cot (3 x) csc (3 x) \frac{d}{d x} (3 x)

= - cot (3 x) csc (3 x) \frac{d}{d x} (3 x)

\frac{d}{d x} (3 x) = 3

= - cot (3 x) csc (3 x) \cdot 3

Graph

Beliebte Beispiele

derivative of (x^2+2x-6/((x+1)^2))

\frac{d}{d x} (\frac{x ^{2} + 2 x - 6}{( x + 1 ) ^{2}})

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

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

tangent f(x)=6e^x+x,(0,6)

t an g e n t f (x) = 6 e^{x} + x, (0, 6)

derivative of cos^4(2x^3-5)

\frac{d}{d x} (cos^{4} (2 x^{3} - 5))

integral of (5-2x^2)/(y^2)

\int \frac{5 - 2 x ^{2}}{y ^{2}} d y