What is the derivative of arccsc(-5x^2) ?

The derivative of arccsc(-5x^2) is 2/(xsqrt(25x^4-1))

What is the first derivative of arccsc(-5x^2) ?

The first derivative of arccsc(-5x^2) is 2/(xsqrt(25x^4-1))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (arccsc (- 5 x^{2}))

\frac{2}{x 25 x ^{4} - 1}

Solution steps

\frac{d}{d x} (arccsc (- 5 x^{2}))

Apply the chain rule:

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

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

\frac{d}{d x} (- 5 x^{2}) = - 10 x

= - \frac{1}{( - 5 x ^{2} ) ^{2} ( - 5 x ^{2} ) ^{2} - 1} (- 10 x)

Simplify

- \frac{1}{( - 5 x ^{2} ) ^{2} ( - 5 x ^{2} ) ^{2} - 1} (- 10 x) : \frac{2}{x 25 x ^{4} - 1}

= \frac{2}{x 25 x ^{4} - 1}

What is the derivative of arccsc(-5x^2) ?
The derivative of arccsc(-5x^2) is 2/(xsqrt(25x^4-1))
What is the first derivative of arccsc(-5x^2) ?
The first derivative of arccsc(-5x^2) is 2/(xsqrt(25x^4-1))