What is the derivative of sqrt(ln(x)) ?

The derivative of sqrt(ln(x)) is 1/(2xsqrt(ln(x)))

What is the first derivative of sqrt(ln(x)) ?

The first derivative of sqrt(ln(x)) is 1/(2xsqrt(ln(x)))

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derivative of

ln (x)

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

Solution steps

\frac{d}{d x} (ln (x))

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{2 ln ( x )} \cdot \frac{1}{x} : \frac{1}{2 x ln ( x )}

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

2 y y^{^{'}} + 6 = y^{2} + 6 x

\int_{3}^{4} (5 - x^{2}) - (17 - 7 x) d x

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

\frac{d y}{d t} = y + t

\frac{d}{d y} (2 y^{2} + 3 x)

What is the derivative of sqrt(ln(x)) ?
The derivative of sqrt(ln(x)) is 1/(2xsqrt(ln(x)))
What is the first derivative of sqrt(ln(x)) ?
The first derivative of sqrt(ln(x)) is 1/(2xsqrt(ln(x)))