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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

4 y^{3}

Solution steps

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

Apply the Power Rule:

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

= 4 y^{4 - 1}

Simplify

= 4 y^{3}

\frac{d}{d x} (sec (x) \cdot x^{5})

\frac{\partial}{\partial x} (x + 2 y + z)

\int \frac{12 x + 30}{x ^{2} + 2 x - 8} d x

x \to 1 lim (e^{x^{2} + 7 x - 8})

\frac{\partial}{\partial x} (e^{- 2 y} cos (π x))

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