What is (\partial)/(\partial x)((xy^2)/(t+2z)) ?

The answer to (\partial)/(\partial x)((xy^2)/(t+2z)) is (y^2)/(t+2z)

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(\partial)/(\partial x)((xy^2)/(t+2z))

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

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

Solution steps

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

Treat

y, t, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

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

Simplify

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

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What is (\partial)/(\partial x)((xy^2)/(t+2z)) ?
The answer to (\partial)/(\partial x)((xy^2)/(t+2z)) is (y^2)/(t+2z)