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

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

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

\frac{\partial}{\partial x} (y \cdot 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}

\frac{d}{d x} (s e^{- s x y (s, x)})

\int \frac{x + 1}{x ^{3} - x ^{2}} d x

\int_{0}^{π} sin^{2} (x) d x

\frac{\partial}{\partial x} (ln (4 - x^{2}))

y = 4 x^{2} - x^{3}, (1, 3)

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