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12 Mathematics Applications of Derivatives - Set No : 19 Question No :7

Question No : 7
               The denominator of a fraction is greatest then 16 of the square of numerator, then least value of fraction is      

                a)                    b)               

                c)                    d)               

Answer No : 7
     (b)Let the number be , then On differentiating w.r.t. , we get     …(i)Put  for maxima or minimaAgain, on differentiating w.r.t. , we get                            At   is maximum at And at  is minimum Least value of                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             

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