What is the derivative of arccot(2y) ?

The derivative of arccot(2y) is -2/(4y^2+1)

What is the first derivative of arccot(2y) ?

The first derivative of arccot(2y) is -2/(4y^2+1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

arccot (2 y)

- \frac{2}{4 y ^{2} + 1}

Solution steps

\frac{d}{d y} (arccot (2 y))

Apply the chain rule:

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

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

\frac{d}{d y} (2 y) = 2

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

Simplify

- \frac{1}{( 2 y ) ^{2} + 1} \cdot 2 : - \frac{2}{4 y ^{2} + 1}

= - \frac{2}{4 y ^{2} + 1}

\int_{0}^{π} 9 cos^{2} (x) d x

\frac{d}{d y} (- sin (y))

\frac{d}{d x} (3 (7^{x}))

\int sec^{2} (3 x) tan^{2} (3 x) d x

\frac{( e ^{x} ( 2 x + 3 ) )}{x ^{2} + 1}

What is the derivative of arccot(2y) ?
The derivative of arccot(2y) is -2/(4y^2+1)
What is the first derivative of arccot(2y) ?
The first derivative of arccot(2y) is -2/(4y^2+1)