# What are the first and second derivatives of #f(x)=lnx/x^2#?

We'll use quotient rule and product rule

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The first derivative of ( f(x) = \frac{\ln x}{x^2} ) is ( f'(x) = \frac{1 - 2\ln x}{x^3} ).

The second derivative of ( f(x) = \frac{\ln x}{x^2} ) is ( f''(x) = \frac{2\ln x - 6}{x^4} ).

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