What is the (log_{10}(x))^' ?

The (log_{10}(x))^' is 1/(xln(10))

What is the first (log_{10}(x))^' ?

The first (log_{10}(x))^' is 1/(xln(10))

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(lo g_{10} (x))^{^{'}}

\frac{1}{x ln ( 10 )}

Solution steps

(lo g_{10} (x))^{'}

Apply the derivative log rule:

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

= \frac{1}{x ln ( 10 )}