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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 $\displaystyle f'(x)=\frac{a'}{a}$
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$\frac{1}{5x}\frac{d}{dx}\left(5x\right)$
Learn how to solve quadratic equations problems step by step online. Find the derivative of ln(5x). 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}. The derivative of the linear function times a constant, is equal to the constant. The derivative of the linear function is equal to 1. Multiply the fraction and term.