What is the derivative of sqrt(1-ln(x)) ?

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

What is the first derivative of sqrt(1-ln(x)) ?

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int \frac{1}{3 + x ^{2}} d x

x \to 3 lim (\frac{x + 1}{x - 2})

g (x) = 15 x

\frac{d}{d x} (14)

\int_{1}^{3} x d x

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