What is the first derivative of Ax^2 ?

The first derivative of Ax^2 is 2Ax

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of Ax^2

\frac{d}{d x} (A x^{2})

2 A x

Solution steps

\frac{d}{d x} (A x^{2})

Take the constant out:

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

= A \frac{d}{d 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

\int \frac{x + 3}{x ^{2} - 2 x - 3} d x

\int f (x + b) d x

x + 2

2 x^{3} - 4 x^{2}, at x = 1

\int 14 ln (3 x) d x