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Beliebt Rechnen >

derivative 2csc(1-3x)

Lösung

ableitung von

2 csc (1 - 3 x)

Lösung

6 cot (1 - 3 x) csc (1 - 3 x)

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

= 2 (- cot (1 - 3 x) csc (1 - 3 x) (- 3))

Vereinfache

= 6 cot (1 - 3 x) csc (1 - 3 x)

Graph

Beliebte Beispiele

tangent f(x)=(2x+3)^5,\at x=-1

t an g e n t f (x) = (2 x + 3)^{5}, at x = - 1

derivative of \sqrt[4]{x}-4/x

\frac{d}{d x} (4 x - \frac{4}{x})

\frac{d y}{d x} - 2 y = 0

integral of sin^3(xco)s^7x

\int sin^{3} (x co) s^{7} x d x

(cos(6x))y^'+6(tan(6x))y=-sec(6x)

(cos (6 x)) y^{^{'}} + 6 (tan (6 x)) y = - sec (6 x)