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

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

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(\partial)/(\partial y)(yln(x))

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

ln (x)

Solution steps

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

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)

\frac{d}{d x} (40 x^{4} + 180 x^{3} + 240 x^{2} + 100 x)

\frac{d}{d x} (\frac{1}{3} (3 - 5 x)^{3})

\int_{0}^{2} \frac{16}{21 x ^{2}} d x

9 x^{2}, at x = 2

\int \frac{x}{x ^{2} - x + 6} d x

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