What is (\partial)/(\partial y)(4x^2y^3) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial y)(4x^2y^3)

\frac{\partial}{\partial y} (4 x^{2} y^{3})

12 x^{2} y^{2}

Solution steps

\frac{\partial}{\partial y} (4 x^{2} y^{3})

Treat

x

as a constant

Take the constant out:

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

= 4 x^{2} \frac{\partial}{\partial y} (y^{3})

Apply the Power Rule:

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

= 4 x^{2} \cdot 3 y^{3 - 1}

Simplify

= 12 x^{2} y^{2}

\frac{\partial}{\partial x} (ln (x))

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

\frac{d y}{d x} = x^{4} y^{- 5}

y = 3 x e^{- k x}

\frac{d}{d x} (\frac{4}{cos ( x )})

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