Is f differentiable? Over what interval are you maximizing the function? Does the maximum of f that you know occur at a critical point, or at an endpoint of your interval of interest?
I have a continuous function f(x) , whose maximum Fm occuring at x=Xo is known.
Can we find the maximum of g(x) = f(x+A) + f(x-A) from the above information and the value of x where we have the maximum of g(x) ?
Is there any way to do this please let me know.
Thanks & Regards
Ok, f differentiable implies g is differentiable. The derivative of g is
As SpringFan25 has noted, setting is a bit problematic. I'm not exactly sure how you would go about solving that. You know that . But I'm not seeing where you would go next. For, if you set , then , and . Then what? You don't know that the second term is zero.