What is (\partial)/(\partial x)(2x^4y) ?

The answer to (\partial)/(\partial x)(2x^4y) is 8x^3y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(2x^4y)

\frac{\partial}{\partial x} (2 x^{4} y)

8 x^{3} y

Solution steps

\frac{\partial}{\partial x} (2 x^{4} y)

Treat

y

as a constant

Take the constant out:

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

= 2 y \frac{\partial}{\partial x} (x^{4})

Apply the Power Rule:

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

= 2 y \cdot 4 x^{4 - 1}

Simplify

= 8 x^{3} y

\frac{d y}{d x} = - a (y - b)

y = x^{3} - 4 x

\frac{2 - x}{e ^{3 x}}

\int \frac{x ^{2}}{( x + 2 ) ^{3}} d x

What is (\partial)/(\partial x)(2x^4y) ?
The answer to (\partial)/(\partial x)(2x^4y) is 8x^3y