Simplify the derivative by applying the properties of logarithms
$\frac{d}{dx}\left(\ln\left(x\right)\right)$
2
The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If $f(x)=ln\:a$ (where $a$ is a function of $x$), then $\displaystyle f'(x)=\frac{a'}{a}$
$\frac{1}{x}$
Final answer to the problem
$\frac{1}{x}$
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The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.