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

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

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

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

ln (y)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= ln (y) \cdot 1

Simplify

= ln (y)

\frac{d}{d x} (x^{2} + x^{2} + 1)

y = 2 e^{- 4 x^{2}}

x \to 0 lim (\frac{8 ^{x} - 5 ^{x}}{x})

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

\int_{0}^{\frac{π}{42}} tan (14 x) d x

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