What is the derivative of the function $$ f(x)=\log _{x} 2 $$ ? Select one: a. $$ -\frac{\ln 2}{x(\ln x)^{2}} $$ b. $$ \frac{2}{x} $$ c. $$ 2 x $$ d. $$ \frac{\ln 2}{x(\ln x)^{2}} $$

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Marshall Simpson · Accepted Answer

The derivative of $$ f(x) = \log_x 2 $$ is $$ -\frac{\ln 2}{x(\ln x)^2} $$.

What is the derivative of the function \( f(x)=\log _{x} 2 \) ? Select one: a. \( -\frac{\ln 2}{x(\ln x)^{2}} \) b. \( \frac{2}{x} \) c. \( 2 x \) d. \( \frac{\ln 2}{x(\ln x)^{2}} \)

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What is the derivative of the function \( f(x)=\log _{x} 2 \) ? Select one: a. \( -\frac{\ln 2}{x(\ln x)^{2}} \) b. \( \frac{2}{x} \) c. \( 2 x \) d. \( \frac{\ln 2}{x(\ln x)^{2}} \)

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