What is the derivative of log_{6}(x) ?

The derivative of log_{6}(x) is 1/(xln(6))

What is the first derivative of log_{6}(x) ?

The first derivative of log_{6}(x) is 1/(xln(6))

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derivative

\frac{1}{x ln ( 6 )}

Solution steps

\frac{d}{d x} (lo g_{6} (x))

Apply the derivative log rule:

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

= \frac{1}{x ln ( 6 )}

What is the derivative of log_{6}(x) ?
The derivative of log_{6}(x) is 1/(xln(6))
What is the first derivative of log_{6}(x) ?
The first derivative of log_{6}(x) is 1/(xln(6))