What is (\partial)/(\partial x)(1/2 yx^2) ?

The answer to (\partial)/(\partial x)(1/2 yx^2) is yx

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(1/2 yx^2)

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

y x

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

= y x

What is (\partial)/(\partial x)(1/2 yx^2) ?
The answer to (\partial)/(\partial x)(1/2 yx^2) is yx