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

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

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

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

\frac{x}{y}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= x \frac{1}{y}

Simplify

x \frac{1}{y} : \frac{x}{y}

= \frac{x}{y}

x \frac{d y}{d x} + 3 y = x^{3} - x

e^{- x + 1} - x \cdot e^{- x + 1}

\int 14 sin^{3} (x) cos^{2} (x) d x

\int \frac{5 x}{x ^{3} + 1} d x

y^{^{'}} + 2 t y^{2} = 0, y (1) = \frac{1}{5}

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