What is (\partial)/(\partial x)(y*log_{e}(x)) ?

The answer to (\partial)/(\partial x)(y*log_{e}(x)) is y/x

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(\partial)/(\partial x)(y*log_{e}(x))

\frac{\partial}{\partial x} (y \cdot lo g_{e} (x))

\frac{y}{x}

Solution steps

\frac{\partial}{\partial x} (y lo g_{e} (x))

Simplify

y lo g_{e} (x) : y ln (x)

= \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} (ln (7 x^{2} + 9 y^{2}))

x \to 1 lim (\frac{1}{x + 3})

\int \frac{2 v}{1 - v ^{2}} d v

\int_{0}^{100} e^{- 0.01 x} d x

\frac{x y ^{^{'}}}{e ^{x} + 1} = 2

What is (\partial)/(\partial x)(y*log_{e}(x)) ?
The answer to (\partial)/(\partial x)(y*log_{e}(x)) is y/x