What is the derivative of log_{8}(x) ?

The derivative of log_{8}(x) is 1/(3ln(2)x)

What is the first derivative of log_{8}(x) ?

The first derivative of log_{8}(x) is 1/(3ln(2)x)

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derivative of

lo g_{8} (x)

\frac{1}{3 ln ( 2 ) x}

Solution steps

\frac{d}{d x} (lo g_{8} (x))

Apply the derivative log rule:

\frac{d}{d x} (lo g_{a} (x)) = \frac{1}{x ln ( a )}

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

Simplify

ln (8) : 3 ln (2)

= \frac{1}{3 ln ( 2 ) x}

\int \frac{3 x ^{2} - 2 x + 5}{( x + 3 ) ^{3}} d x

\frac{d}{d x} ((\frac{x ^{2} + 1}{2 x - 1})^{2})

\frac{d}{d x} (\frac{9 ( x - 3 )}{( x - 1 ) ^{3}})

x \to 5 - lim (\frac{1}{x ^{2} - 25})

\frac{\partial}{\partial t} (\frac{3 s + t}{4 s - t})

What is the derivative of log_{8}(x) ?
The derivative of log_{8}(x) is 1/(3ln(2)x)
What is the first derivative of log_{8}(x) ?
The first derivative of log_{8}(x) is 1/(3ln(2)x)