What is (\partial)/(\partial y)(2xln(y)) ?

The answer to (\partial)/(\partial y)(2xln(y)) is (2x)/y

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(\partial)/(\partial y)(2xln(y))

\frac{\partial}{\partial y} (2 x ln (y))

\frac{2 x}{y}

Solution steps

\frac{\partial}{\partial y} (2 x ln (y))

Treat

x

as a constant

Take the constant out:

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

= 2 x \frac{\partial}{\partial y} (ln (y))

Apply the common derivative:

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

= 2 x \frac{1}{y}

Simplify

2 x \frac{1}{y} : \frac{2 x}{y}

= \frac{2 x}{y}

x \to 0 + lim (2 - \frac{3}{x ^{\frac{1}{3}}})

\int \frac{9 e ^{9 x}}{5 + e ^{9 x}} d x

\frac{y ^{^{'}} - e ^{- t} + 6}{y} = - 6, y (0) = 1

\frac{\partial}{\partial x} (5 sin (2 x) cos (5 y))

\int_{0}^{3} 3 x + 16 d x

What is (\partial)/(\partial y)(2xln(y)) ?
The answer to (\partial)/(\partial y)(2xln(y)) is (2x)/y