en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of arcsin(x^2-1)

Solution

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

Solution

\frac{2}{- x ^{2} + 2}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{2}{- x ^{2} + 2}

Graph

Popular Examples

tangent of f(x)=0.6831x^{-1.031},\at x=1 tangent of

f (x) = 0.6831 x^{- 1.031}, at x = 1

(d^2x)/(dt^2)+5(dx)/(dt)+6x=2e^{-3t}

\frac{d ^{2} x}{d t ^{2}} + 5 \frac{d x}{d t} + 6 x = 2 e^{- 3 t}

(\partial)/(\partial x)((1/x+1/y)^{-1})

\frac{\partial}{\partial x} ((\frac{1}{x} + \frac{1}{y})^{- 1})

cos(x)(dy)/(dx)+sin(x)y=1

cos (x) \frac{d y}{d x} + sin (x) y = 1

derivative of ln(1/(x+1))

\frac{d}{d x} (ln (\frac{1}{x + 1}))

Frequently Asked Questions (FAQ)

What is the derivative of arcsin(x^2-1) ?
The derivative of arcsin(x^2-1) is 2/(sqrt(-x^2+2))
What is the first derivative of arcsin(x^2-1) ?
The first derivative of arcsin(x^2-1) is 2/(sqrt(-x^2+2))