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

The answer to (\partial)/(\partial y)(y^2z^3) is 2yz^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^2z^3)

\frac{\partial}{\partial y} (y^{2} z^{3})

2 y z^{3}

Solution steps

\frac{\partial}{\partial y} (y^{2} z^{3})

Treat

z

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

= z^{3} \cdot 2 y^{2 - 1}

Simplify

= 2 y z^{3}

\int_{1}^{2} x^{2} ln (x) d x

f (x) = (3 x^{4} + 7)^{6}

\frac{d}{d x} (\frac{2 x ^{3}}{( x ^{2} + 1 ) ^{2}})

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

y^{^{'}} = 2 e^{2 x - y}, y (0) = 0

What is (\partial)/(\partial y)(y^2z^3) ?
The answer to (\partial)/(\partial y)(y^2z^3) is 2yz^3