Saturday, April 7, 2018

How to find f(6) given the following functional equation .




Let f:RR be a function such that |f(x)f(y)|6|xy|2 for all x,yR. If f(3)=6 then f(6) equals:




how to calculate this ? facing problem with the inequality up there .


Answer



Hint: f is differentiable at all points, and its derivative can be calculated explicitly.


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