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/(10))

Solution

\frac{d}{d x} (arcsin (\frac{x}{10}))

Solution

\frac{1}{100 - x ^{2}}

Solution steps

\frac{d}{d x} (arcsin (\frac{x}{10}))

Apply the chain rule:

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

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

\frac{d}{d x} (\frac{x}{10}) = \frac{1}{10}

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

Simplify

\frac{1}{1 - ( \frac{x}{10} ) ^{2}} \cdot \frac{1}{10} : \frac{1}{100 - x ^{2}}

= \frac{1}{100 - x ^{2}}

Popular Examples

(\partial)/(\partial x)(-4/(x^2y))

\frac{\partial}{\partial x} (- \frac{4}{x ^{2} y})

x^{''}-20x^'+91x=0

x^{^{''}} - 20 x^{^{'}} + 91 x = 0

derivative of f(t)=t^{1/2}(13t+2)derivative of

f (t) = t^{\frac{1}{2}} (13 t + 2)

derivative of 9/((9-x^8)^{3/2)}derivative of

\frac{9}{( 9 - x ^{8} ) ^{\frac{3}{2}}}

integral from 3 to 5 of (x^2)/8

\int_{3}^{5} \frac{x ^{2}}{8} d x

Frequently Asked Questions (FAQ)

What is the derivative of arcsin(x/(10)) ?
The derivative of arcsin(x/(10)) is 1/(sqrt(100-x^2))
What is the first derivative of arcsin(x/(10)) ?
The first derivative of arcsin(x/(10)) is 1/(sqrt(100-x^2))