en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 1/(sin(x^2))

Solution

\frac{d}{d x} (\frac{1}{sin ( x ^{2} )})

Solution

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

Solution steps

\frac{d}{d x} (\frac{1}{sin ( x ^{2} )})

Simplify

\frac{1}{sin ( x ^{2} )} : csc (x^{2})

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

Apply the chain rule:

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

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

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

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

Popular Examples

integral of e^{4x}cos(3x)

\int e^{4 x} cos (3 x) d x

(\partial)/(\partial x)(y+e^x)

\frac{\partial}{\partial x} (y + e^{x})

integral from 0 to 1 of (2x)/(1+x^4)

\int_{0}^{1} \frac{2 x}{1 + x ^{4}} d x

tangent of f(x)=(-4x)/(x^2+1),\at x=0 tangent of

f (x) = \frac{- 4 x}{x ^{2} + 1}, at x = 0

limit as x approaches 3 of (x^2-6)/(x-3)

x \to 3 lim (\frac{x ^{2} - 6}{x - 3})

Frequently Asked Questions (FAQ)

What is the derivative of 1/(sin(x^2)) ?
The derivative of 1/(sin(x^2)) is -cot(x^2)csc(x^2)*2x
What is the first derivative of 1/(sin(x^2)) ?
The first derivative of 1/(sin(x^2)) is -cot(x^2)csc(x^2)*2x