What is the derivative of 1/(sin(3x)) ?

The derivative of 1/(sin(3x)) is -cot(3x)csc(3x)*3

What is the first derivative of 1/(sin(3x)) ?

The first derivative of 1/(sin(3x)) is -cot(3x)csc(3x)*3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Solution steps

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

Simplify

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

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

Apply the chain rule:

- 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

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

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

f (x) = 6 e^{x} + x, (0, 6)

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

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

What is the derivative of 1/(sin(3x)) ?
The derivative of 1/(sin(3x)) is -cot(3x)csc(3x)*3
What is the first derivative of 1/(sin(3x)) ?
The first derivative of 1/(sin(3x)) is -cot(3x)csc(3x)*3