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Q.

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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a

2

b

3

c

4

d

6

answer is D.

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Detailed Solution

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

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