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

The derivative of arccot(sqrt(x)) is -1/(2sqrt(x)(x+1))

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

The first derivative of arccot(sqrt(x)) is -1/(2sqrt(x)(x+1))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

f (x) = x^{2} 9 - x^{2}

- \frac{1}{( 1 + t ) ^{2}}

6 y^{^{''}} - y^{^{'}} - y = 0

\frac{d}{d x} (5 x^{3} y^{4})

(\frac{d y}{d x})^{2} + 2 e^{x} \frac{d y}{d x} + e^{2 x} = 0

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