en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of arccsc(-x^2)

Solution

\frac{d}{d x} (arccsc (- x^{2}))

Solution

\frac{2}{x x ^{4} - 1}

Solution steps

\frac{d}{d x} (arccsc (- x^{2}))

Apply the chain rule:

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

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

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

= - \frac{1}{( - x ^{2} ) ^{2} ( - x ^{2} ) ^{2} - 1} (- 2 x)

Simplify

- \frac{1}{( - x ^{2} ) ^{2} ( - x ^{2} ) ^{2} - 1} (- 2 x) : \frac{2}{x x ^{4} - 1}

= \frac{2}{x x ^{4} - 1}

Popular Examples

integral of (5x^2)

\int (5 x^{2}) d x

integral of (tan^2(x))/(2sec(x))

\int \frac{tan ^{2} ( x )}{2 sec ( x )} d x

integral from 0 to pi of 4xcos(x)

\int_{0}^{π} 4 x cos (x) d x

derivative of 1/(in(x-1))

\frac{d}{d x} (\frac{1}{in ( x - 1 )})

(e^{(-x^2)/2})^'

(e^{\frac{- x ^{2}}{2}})^{^{'}}

Frequently Asked Questions (FAQ)

What is the derivative of arccsc(-x^2) ?
The derivative of arccsc(-x^2) is 2/(xsqrt(x^4-1))
What is the first derivative of arccsc(-x^2) ?
The first derivative of arccsc(-x^2) is 2/(xsqrt(x^4-1))