What is (\partial}{\partial y}(\frac{y^3)/x) ?

The answer to (\partial}{\partial y}(\frac{y^3)/x) is (3y^2)/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^3)/x)

\frac{\partial}{\partial y} (\frac{y ^{3}}{x})

\frac{3 y ^{2}}{x}

Solution steps

\frac{\partial}{\partial y} (\frac{y ^{3}}{x})

Treat

x

as a constant

Take the constant out:

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

= \frac{1}{x} \frac{\partial}{\partial y} (y^{3})

Apply the Power Rule:

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

= \frac{1}{x} \cdot 3 y^{3 - 1}

Simplify

\frac{1}{x} \cdot 3 y^{3 - 1} : \frac{3 y ^{2}}{x}

= \frac{3 y ^{2}}{x}

t^{8} cos (t)

t^{2} \cdot e^{-, at}

f (x) = x (4 - x)^{3}, at x = 2

f (t) = 3 sin (4 t) - 2 e^{2 t}

h (t) = 6 ln (t^{8})

What is (\partial}{\partial y}(\frac{y^3)/x) ?
The answer to (\partial}{\partial y}(\frac{y^3)/x) is (3y^2)/x