What is (\partial}{\partial y}(\frac{y^2)/x) ?

The answer to (\partial}{\partial y}(\frac{y^2)/x) is (2y)/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial}{\partial y}(\frac{y^2)/x)

\frac{\partial}{\partial y} (\frac{y ^{2}}{x})

\frac{2 y}{x}

Solution steps

\frac{\partial}{\partial y} (\frac{y ^{2}}{x})

Treat

x

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

= \frac{1}{x} \cdot 2 y^{2 - 1}

Simplify

\frac{1}{x} \cdot 2 y^{2 - 1} : \frac{2 y}{x}

= \frac{2 y}{x}

\frac{d}{d x} (\frac{x ^{4}}{4} - \frac{9}{2} x^{2} + 1)

\int (x + y)^{2} d x

x \to 0 lim (\frac{sin ( 4 x )}{tan ( 3 x )})

\int_{1}^{\infty} 12 e^{- 6 x} d x

\frac{10 s ^{2}}{s ^{2} + 9}

What is (\partial}{\partial y}(\frac{y^2)/x) ?
The answer to (\partial}{\partial y}(\frac{y^2)/x) is (2y)/x