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

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

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(\partial)/(\partial y)(ln(x)y)

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

ln (x)

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= ln (x) \cdot 1

Simplify

= ln (x)

\int y - \frac{1}{y ^{2}} d y

2 t^{4}

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

y = g (3 x) h (2 x)

\int x^{2} + a^{2} d x

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