What is (\partial)/(\partial x)(x*ln(2y)) ?

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

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(\partial)/(\partial x)(x*ln(2y))

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

ln (2 y)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= ln (2 y) \cdot 1

Simplify

= ln (2 y)

x \to 0 lim (\frac{2 x}{ln ( x )})

4 x (x^{2} - 4)

g (x) = x^{4} - \frac{6}{x}, (2, 13)

4 cot^{7} (x), at x = \frac{π}{4}

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

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