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

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

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(\partial)/(\partial y)(y^2z)

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

2 yz

Solution steps

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

Treat

z

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 2 yz

x \to - 1 lim (x^{3} - 2 x^{2} + x - 3)

\int_{0}^{x} 1 + \frac{81}{4} t d t

\int (x)^{3} d x

t an g e n t f (x) = \frac{1}{x ^{2}}, at x = 1

\frac{\partial}{\partial x} (5 e^{x^{2} - 4 y})

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