What is (\partial)/(\partial x)(5yln(x)) ?

The answer to (\partial)/(\partial x)(5yln(x)) is (5y)/x

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(\partial)/(\partial x)(5yln(x))

\frac{\partial}{\partial x} (5 y ln (x))

\frac{5 y}{x}

Solution steps

\frac{\partial}{\partial x} (5 y ln (x))

Treat

y

as a constant

Take the constant out:

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

= 5 y \frac{\partial}{\partial x} (ln (x))

Apply the common derivative:

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

= 5 y \frac{1}{x}

Simplify

5 y \frac{1}{x} : \frac{5 y}{x}

= \frac{5 y}{x}

\frac{d}{d x} (\frac{x ^{3}}{3 - x ^{2}})

\frac{1}{2 x + 10}

y^{^{'}} = 2 x e^{y}

\frac{\partial}{\partial x} (e^{x y} cos (b x + c))

\frac{d y}{d x} = 2 + y - 2 x + 4

What is (\partial)/(\partial x)(5yln(x)) ?
The answer to (\partial)/(\partial x)(5yln(x)) is (5y)/x