What is the (sqrt(ln(x)))^' ?

The (sqrt(ln(x)))^' is 1/(2xsqrt(ln(x)))

What is the first (sqrt(ln(x)))^' ?

The first (sqrt(ln(x)))^' is 1/(2xsqrt(ln(x)))

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(ln (x))^{^{'}}

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

Solution steps

(ln (x))^{'}

Apply the chain rule:

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

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

\frac{d y}{d x} = (- 3 y)

\int 169 - x^{2} d x

\int \frac{8 x ^{3}}{( x ^{4} + 1 ) ^{3}} d x

\int \frac{ln ( 10 x )}{x} d x

y^{^{''}} + 12 y^{^{'}} + 24 y = 4381 e^{2 x} cos (13 x)

What is the (sqrt(ln(x)))^' ?
The (sqrt(ln(x)))^' is 1/(2xsqrt(ln(x)))
What is the first (sqrt(ln(x)))^' ?
The first (sqrt(ln(x)))^' is 1/(2xsqrt(ln(x)))