What is the derivative of sqrt(ln(7x)) ?

The derivative of sqrt(ln(7x)) is 1/(2xsqrt(ln(7x)))

What is the first derivative of sqrt(ln(7x)) ?

The first derivative of sqrt(ln(7x)) is 1/(2xsqrt(ln(7x)))

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\frac{d}{d x} (ln (7 x))

\frac{1}{2 x ln ( 7 x )}

Solution steps

\frac{d}{d x} (ln (7 x))

Apply the chain rule:

\frac{1}{2 ln ( 7 x )} \frac{d}{d x} (ln (7 x))

= \frac{1}{2 ln ( 7 x )} \frac{d}{d x} (ln (7 x))

\frac{d}{d x} (ln (7 x)) = \frac{1}{x}

= \frac{1}{2 ln ( 7 x )} \cdot \frac{1}{x}

Simplify

\frac{1}{2 ln ( 7 x )} \cdot \frac{1}{x} : \frac{1}{2 x ln ( 7 x )}

= \frac{1}{2 x ln ( 7 x )}

\frac{\partial}{\partial x} ((x y - 1)^{2})

\int \frac{x ^{4} + 4}{x ^{3}} d x

y^{^{''}} + 3 y^{^{'}} + 2 y = e^{- 2 t}

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

(sin (x) sin (2 x) sin (3 x))^{^{'}}

What is the derivative of sqrt(ln(7x)) ?
The derivative of sqrt(ln(7x)) is 1/(2xsqrt(ln(7x)))
What is the first derivative of sqrt(ln(7x)) ?
The first derivative of sqrt(ln(7x)) is 1/(2xsqrt(ln(7x)))