What is (\partial}{\partial x}(\frac{xy^2)/z) ?

The answer to (\partial}{\partial x}(\frac{xy^2)/z) is (y^2)/z

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(\partial}{\partial x}(\frac{xy^2)/z)

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

\frac{y ^{2}}{z}

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

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

Simplify

= \frac{y ^{2}}{z}

y = x^{2} ln (2 x + 1)

\int_{1}^{e} 6 x^{2} ln (x) d x

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

\frac{d}{d x} ((\frac{x}{2})^{4})

y (θ) = \frac{π}{7} cos (θ)

What is (\partial}{\partial x}(\frac{xy^2)/z) ?
The answer to (\partial}{\partial x}(\frac{xy^2)/z) is (y^2)/z