12th Class Mathematics Continuity and Differentiability

  • question_answer 119) If f : [?5, 5]  is differentiable functions and if f?(x) does not vanish any where, then prove that f(?5)  f(5).


    Given f(x) is differentiable function.           is also continuous function          differentiability          Since f(x) satisfies both contidions of L.M.V. theorem therefore f?(c) =                       but it is given that f?(c)  0 for any c                             f(5)          Hence the result.  

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