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

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

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

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

\frac{y}{x}

Solution steps

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

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}

\frac{d}{d x} (5 + 4 f (x))

\int 5 x^{4} sin^{2} (x^{5}) d x

\frac{d y}{d x} = e^{2 x - 5 y}

y^{^{'}} = \frac{x ^{2} + 2 y ^{2}}{x y}

y^{^{''}} - y^{^{'}} - 30 = 0

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