What is (\partial)/(\partial y)(xarctan(y)) ?

The answer to (\partial)/(\partial y)(xarctan(y)) is x/(y^2+1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial y)(xarctan(y))

\frac{\partial}{\partial y} (x arctan (y))

\frac{x}{y ^{2} + 1}

Solution steps

\frac{\partial}{\partial y} (x arctan (y))

Treat

x

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= x \frac{\partial}{\partial y} (arctan (y))

Apply the common derivative:

\frac{\partial}{\partial y} (arctan (y)) = \frac{1}{y ^{2} + 1}

= x \frac{1}{y ^{2} + 1}

Simplify

x \frac{1}{y ^{2} + 1} : \frac{x}{y ^{2} + 1}

= \frac{x}{y ^{2} + 1}

6 x - 3 x^{2}

\frac{d}{d x} (\frac{x + 2}{x})

x \to 4 lim (\frac{∣ x - 4 ∣}{4 - x})

\frac{\partial}{\partial x} (2 x + y - 2)

\frac{d}{d x} (a e^{x} + b)

What is (\partial)/(\partial y)(xarctan(y)) ?
The answer to (\partial)/(\partial y)(xarctan(y)) is x/(y^2+1)