What is the derivative of $\frac{ln x}{x}$ $lnx / x$ ?

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Answer 1 · 2015-12-24T18:17:07

Using quotient rule, which states that for $y = \frac{f (x)}{g (x)}$ $y=f(x)/g(x)$ , $(dy)/(dx)=(f'(x)g(x)=f(x)g'(x))/g(x)^2$

Solving:

$(dy)/(dx)=((1/x)x-lnx(1))/x^2$

$(dy)/(dx)=(1-lnx)/x^2$

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