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$Rolle's theorem is applicable to function f (x) = \frac{\ln x}{x} over [a, b] where a, b are positive$ $integers, then the value of a + b$

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Correct option is D

ln⁡aa=ln⁡bbdydx=1−ln⁡xx2a=2⇒b=4 As ln⁡22=ln⁡44⇒a+b=4+2=6

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Rolle's theorem is applicable to function f(x)=ln⁡xx over [a,b] where a,b are positive integers, then the value of a+b

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$Rolle's theorem is applicable to function f (x) = \frac{\ln x}{x} over [a, b] where a, b are positive$ $integers, then the value of a + b$