Question

If the function , where , attains its maximum and minimum at and respectively such that then equals to

A

B

C

D

Hard
Solution
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Correct option is B)

The given equation is:


To find the extremum points we differentiate and equate it to zero






Now to find whether at the critical points we find a maxima or minima we use the second derivative test.






Hence we get a minima at x =2a and and a maxima at x =a. Hence,



Using the given relation we get




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Β  Β  Β  .....Answer

Solve any question of Application of Derivatives with:-
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