What is (\partial)/(\partial x)(yarctan(x)) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(yarctan(x))

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

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

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

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

Simplify

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

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

x \to 0 lim (\frac{sin ( x )}{2 x})

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

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

\int (4 x + 5) d x

\frac{d}{d x} (arcsin (\frac{1}{x ^{5}}))

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