What is (\partial)/(\partial x)(xln(yz)) ?

The answer to (\partial)/(\partial x)(xln(yz)) is ln(yz)

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(\partial)/(\partial x)(xln(yz))

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

ln (yz)

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

= ln (yz) \cdot 1

Simplify

= ln (yz)

\int x e^{a x} d x

2 y^{^{''}} - 3 y^{^{'}} + y = 0, y (0) = 2, y^{^{'}} (0) = \frac{1}{2}

\int t^{2} t + 8 d t

y = \frac{2 x}{x - 1}

x \to 0 lim ((\frac{2 arccos ( x )}{π})^{\frac{1}{x}})

What is (\partial)/(\partial x)(xln(yz)) ?
The answer to (\partial)/(\partial x)(xln(yz)) is ln(yz)