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

The answer to (\partial)/(\partial x)(xsqrt(x)) is (3sqrt(x))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(xsqrt(x))

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

\frac{3 x}{2}

Solution steps

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

Simplify

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

= \frac{\partial}{\partial x} (x^{\frac{3}{2}})

Apply the Power Rule:

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

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

Simplify

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

= \frac{3 x}{2}

What is (\partial)/(\partial x)(xsqrt(x)) ?
The answer to (\partial)/(\partial x)(xsqrt(x)) is (3sqrt(x))/2