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).

    Answer:

    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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