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+1)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

integral from 2 to x^2 of cos(x^2+1)

\int_{2}^{x^{2}} cos (x^{2} + 1) d x

integral from 0 to 2pi of x^2sin(2x)

\int_{0}^{2 π} x^{2} sin (2 x) d x

d/(dt)(3sin(3t))

\frac{d}{d t} (3 sin (3 t))

((2y)/x+2x)+(2ln(x)-3)y^'=0

(\frac{2 y}{x} + 2 x) + (2 ln (x) - 3) y^{^{'}} = 0

(\partial)/(\partial x)((26x^2)/((x-y)^2))

\frac{\partial}{\partial x} (\frac{26 x ^{2}}{( x - y ) ^{2}})

Frequently Asked Questions (FAQ)

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