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

The derivative of ln(ln(7x)) is 1/(xln(7x))

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

The first derivative of ln(ln(7x)) is 1/(xln(7x))

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derivative of

ln (ln (7 x))

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int \frac{cos ( 6 x )}{sin ( 6 x )} d x

\frac{\partial}{\partial x} (- 2 e^{- x^{2}} x)

\int 2 x - 6 x^{3} d x

- 5

x^{2}, 3 - 2 x

What is the derivative of ln(ln(7x)) ?
The derivative of ln(ln(7x)) is 1/(xln(7x))
What is the first derivative of ln(ln(7x)) ?
The first derivative of ln(ln(7x)) is 1/(xln(7x))