What is (\partial)/(\partial y)(y^{3/2}) ?

The answer to (\partial)/(\partial y)(y^{3/2}) is (3y^{1/2})/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial y)(y^{3/2})

\frac{\partial}{\partial y} (y^{\frac{3}{2}})

\frac{3 y ^{\frac{1}{2}}}{2}

Solution steps

\frac{\partial}{\partial y} (y^{\frac{3}{2}})

Apply the Power Rule:

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

= \frac{3}{2} y^{\frac{3}{2} - 1}

Simplify

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

= \frac{3 y ^{\frac{1}{2}}}{2}

What is (\partial)/(\partial y)(y^{3/2}) ?
The answer to (\partial)/(\partial y)(y^{3/2}) is (3y^{1/2})/2