What is (\partial)/(\partial x)((2x-1)^3) ?

The answer to (\partial)/(\partial x)((2x-1)^3) is 6(2x-1)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)((2x-1)^3)

\frac{\partial}{\partial x} ((2 x - 1)^{3})

6 (2 x - 1)^{2}

Solution steps

\frac{\partial}{\partial x} ((2 x - 1)^{3})

Apply the chain rule:

3 (2 x - 1)^{2} \frac{\partial}{\partial x} (2 x - 1)

= 3 (2 x - 1)^{2} \frac{\partial}{\partial x} (2 x - 1)

\frac{\partial}{\partial x} (2 x - 1) = 2

= 3 (2 x - 1)^{2} \cdot 2

Simplify

= 6 (2 x - 1)^{2}

What is (\partial)/(\partial x)((2x-1)^3) ?
The answer to (\partial)/(\partial x)((2x-1)^3) is 6(2x-1)^2