What is (\partial)/(\partial x)(ax^2) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(ax^2)

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

2 a x

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= a \cdot 2 x^{2 - 1}

Simplify

= 2 a x

x \to - 3 lim (\frac{x ^{2} - 4}{3 - x})

\frac{x - 4}{x + 2}

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

\int \frac{1}{x - 1 - x} d x

\int \frac{- 2 y}{x} d x

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