What is (\partial)/(\partial x)(1/2 ln(x)) ?

The answer to (\partial)/(\partial x)(1/2 ln(x)) is 1/(2x)

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(\partial)/(\partial x)(1/2 ln(x))

\frac{\partial}{\partial x} (\frac{1}{2} ln (x))

\frac{1}{2 x}

Solution steps

\frac{\partial}{\partial x} (\frac{1}{2} ln (x))

Take the constant out:

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

= \frac{1}{2} \frac{\partial}{\partial x} (ln (x))

Apply the common derivative:

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

= \frac{1}{2} \cdot \frac{1}{x}

Simplify

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

= \frac{1}{2 x}

(x^{2} + 1) y^{^{'}} + 8 x (y - 1) = 0, y (0) = 3

\frac{\partial}{\partial x} (4 x^{2} - 4 x y + x yz)

\int \frac{tan ( x )}{1 + cos ( x )} d x

6 - x^{2}, x^{2} - 2, [0, 3]

\int \frac{ln ( y )}{ln ( y )} d y

What is (\partial)/(\partial x)(1/2 ln(x)) ?
The answer to (\partial)/(\partial x)(1/2 ln(x)) is 1/(2x)