What is (\partial)/(\partial y)(6xy^3) ?

The answer to (\partial)/(\partial y)(6xy^3) is 18xy^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial y)(6xy^3)

\frac{\partial}{\partial y} (6 x y^{3})

18 x y^{2}

Solution steps

\frac{\partial}{\partial y} (6 x y^{3})

Treat

x

as a constant

Take the constant out:

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

= 6 x \frac{\partial}{\partial y} (y^{3})

Apply the Power Rule:

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

= 6 x \cdot 3 y^{3 - 1}

Simplify

= 18 x y^{2}

\frac{d}{d x} (\frac{( x + 1 )}{x})

arcsin (4 x)

\int \frac{x ^{3}}{y ^{2}} d x

\frac{1}{( x + 1 ) ^{2}} 1

\int x^{2} 9 + x^{2} d x

What is (\partial)/(\partial y)(6xy^3) ?
The answer to (\partial)/(\partial y)(6xy^3) is 18xy^2