What is the derivative of arccos(sqrt(x)) ?

The derivative of arccos(sqrt(x)) is -1/(2sqrt(x)\sqrt{1-x)}

What is the first derivative of arccos(sqrt(x)) ?

The first derivative of arccos(sqrt(x)) is -1/(2sqrt(x)\sqrt{1-x)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

arccos (x)

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

Solution steps

\frac{d}{d x} (arccos (x))

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int 5 sin^{4} (r) cos (r) d r

\frac{e ^{x}}{x ^{2}}

\frac{d}{d x} ((x - a)^{3} (x - b))

\frac{\partial}{\partial y} (x^{4} + 3 x^{2} y)

3 x^{2} cos (3 x)

What is the derivative of arccos(sqrt(x)) ?
The derivative of arccos(sqrt(x)) is -1/(2sqrt(x)\sqrt{1-x)}
What is the first derivative of arccos(sqrt(x)) ?
The first derivative of arccos(sqrt(x)) is -1/(2sqrt(x)\sqrt{1-x)}