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

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

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

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

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derivative of

f (x) = ln (x)

\frac{1}{2 x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{1}{2 x}

\frac{d}{d x} ((x + (x + sin^{2} (x))^{7})^{3})

\int t^{2} e^{- t^{3}} d t

x^{4}

y^{^{''}} + 9 y = t^{3}

n = 1 \sum \infty \frac{6}{n ( n + 3 )}

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