What is (\partial}{\partial x}(\frac{xy)/4) ?

The answer to (\partial}{\partial x}(\frac{xy)/4) is y/4

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(\partial}{\partial x}(\frac{xy)/4)

\frac{\partial}{\partial x} (\frac{x y}{4})

\frac{y}{4}

Solution steps

\frac{\partial}{\partial x} (\frac{x y}{4})

Treat

y

as a constant

Take the constant out:

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

= \frac{y}{4} \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= \frac{y}{4} \cdot 1

Simplify

= \frac{y}{4}

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\frac{\partial}{\partial x} (x ∣ x ∣)

t \to - 1 lim (\frac{e ^{t}}{( \frac{e ^{t} - 6}{5} )})

\int_{0}^{5} ∣ x - 2 ∣ d x

What is (\partial}{\partial x}(\frac{xy)/4) ?
The answer to (\partial}{\partial x}(\frac{xy)/4) is y/4