en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of sqrt(csc(2x))

Solution

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

Solution

- cot (2 x) csc (2 x)

Solution steps

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

Apply the chain rule:

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

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

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

= \frac{1}{2 csc ( 2 x )} (- cot (2 x) csc (2 x) \cdot 2)

Simplify

\frac{1}{2 csc ( 2 x )} (- cot (2 x) csc (2 x) \cdot 2) : - cot (2 x) csc (2 x)

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

Popular Examples

(dy)/(dx)=-(sqrt(x))/(4y)

\frac{d y}{d x} = - \frac{x}{4 y}

(\partial)/(\partial y)(8xy^2z^3)

\frac{\partial}{\partial y} (8 x y^{2} z^{3})

integral from 0 to 2 of sin(x)

\int_{0}^{2} sin (x) d x

integral of (-5x+2)/((x+1)^2)

\int \frac{- 5 x + 2}{( x + 1 ) ^{2}} d x

derivative of cos(x-pi/6)

\frac{d}{d x} (cos (x - \frac{π}{6}))

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(csc(2x)) ?
The derivative of sqrt(csc(2x)) is -cot(2x)sqrt(csc(2x))
What is the first derivative of sqrt(csc(2x)) ?
The first derivative of sqrt(csc(2x)) is -cot(2x)sqrt(csc(2x))