What is (\partial)/(\partial x)(xln(y)) ?

The answer to (\partial)/(\partial x)(xln(y)) is ln(y)

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(\partial)/(\partial x)(xln(y))

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

ln (y)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= ln (y) \cdot 1

Simplify

= ln (y)

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\frac{d}{d x} (6 x sin (π x))

\frac{d}{d x} (2 - \frac{1}{x})

What is (\partial)/(\partial x)(xln(y)) ?
The answer to (\partial)/(\partial x)(xln(y)) is ln(y)