What is the derivative of y=ln(ln(8x)) ?

The derivative of y=ln(ln(8x)) is 1/(xln(8x))

What is the first derivative of y=ln(ln(8x)) ?

The first derivative of y=ln(ln(8x)) is 1/(xln(8x))

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derivative of

y = ln (ln (8 x))

\frac{1}{x ln ( 8 x )}

Solution steps

\frac{d}{d x} (ln (ln (8 x)))

Apply the chain rule:

\frac{1}{ln ( 8 x )} \frac{d}{d x} (ln (8 x))

= \frac{1}{ln ( 8 x )} \frac{d}{d x} (ln (8 x))

\frac{d}{d x} (ln (8 x)) = \frac{1}{x}

= \frac{1}{ln ( 8 x )} \cdot \frac{1}{x}

Simplify

\frac{1}{ln ( 8 x )} \cdot \frac{1}{x} : \frac{1}{x ln ( 8 x )}

= \frac{1}{x ln ( 8 x )}

e^{(e^{x})}

y = (\frac{x ^{2} + 4}{x ^{2} - 4})^{3}

x \to 6 - lim (\frac{x}{x - 6})

\int \frac{1}{( x + 2 ) ( x + 2 )} d x

f (x) = sin^{5} (x)

What is the derivative of y=ln(ln(8x)) ?
The derivative of y=ln(ln(8x)) is 1/(xln(8x))
What is the first derivative of y=ln(ln(8x)) ?
The first derivative of y=ln(ln(8x)) is 1/(xln(8x))