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

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

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

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

\frac{y}{x}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= y \frac{1}{x}

Simplify

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

= \frac{y}{x}

\int 12 t^{3} d t

\frac{\partial}{\partial x} (x^{2} y + x y^{2} + 20)

\frac{d}{d x} (x^{0.7} y^{0.3})

\frac{d}{d y} (3 cos (3 x) (x - y) + sin (3 x))

\frac{d}{d x} (\frac{4 x ^{4} + 7}{x ^{2}})

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