if ab=2a+3b, a>0,b>0 then the min. value of ab=?

(plz tell the answer by using inequalities and also differentiation and by any simple method u have)thnku...

Dear ajinkya

ab=2a+3b ...............1

use AM ≥GM

 (2a+3b)/2  ≥ (6ab)^1/2

 or  (2a+3b)  ≥ 2(6ab)^1/2

 so from equation 1

 ab ≥ 2(6ab)^1/2

 (ab)^1/2 ≥ 2(6)^1/2

ab ≥ 24

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