What is the derivative of ln(x^{1/2}) ?

The derivative of ln(x^{1/2}) is 1/(2x)

What is the first derivative of ln(x^{1/2}) ?

The first derivative of ln(x^{1/2}) is 1/(2x)

Popular >

derivative of

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

\frac{1}{2 x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{1}{2 x}

\frac{d}{d x} (x (a cos (x) + b sin (x)))

\int_{- 1}^{e - 2} \frac{t}{t ^{2} + 2} d t

\frac{\partial}{\partial x} (x cos (x) y)

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

\int 2 x y z^{2} e^{x^{2}} d x

What is the derivative of ln(x^{1/2}) ?
The derivative of ln(x^{1/2}) is 1/(2x)
What is the first derivative of ln(x^{1/2}) ?
The first derivative of ln(x^{1/2}) is 1/(2x)