What is (\partial)/(\partial y)(4xy^3) ?

The answer to (\partial)/(\partial y)(4xy^3) is 12xy^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial y)(4xy^3)

\frac{\partial}{\partial y} (4 x y^{3})

12 x y^{2}

Solution steps

\frac{\partial}{\partial y} (4 x y^{3})

Treat

x

as a constant

Take the constant out:

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

= 4 x \frac{\partial}{\partial y} (y^{3})

Apply the Power Rule:

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

= 4 x \cdot 3 y^{3 - 1}

Simplify

= 12 x y^{2}

n = 1 \sum \infty \frac{2}{n \cdot ( n + 2 )}

f (x) = 2 sec (x)

\frac{d}{d x} (80 (1 - 0.1 x)^{3})

\frac{d}{d x} (ln (\frac{x + b}{x}))

y^{^{'}} + 8 y = 5

What is (\partial)/(\partial y)(4xy^3) ?
The answer to (\partial)/(\partial y)(4xy^3) is 12xy^2