Hello, I've the following function : f(x)=((1+(1-2*x/c)^0.5)*exp(-2*x/(1+(1-2*x/c)^0.5))- -(1-(1-2*x/c)^0.5)*exp(-2*x/(1-(1-2*x/c)^0.5)))/(1-2*x/c)^0.5 where 1<x<c/2, c is a positive constant. I've to show that f(1)>=x*f(x) Any ideas ? Asak
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Originally Posted by Asak Hello, I've the following function : f(x)=((1+(1-2*x/c)^0.5)*exp(-2*x/(1+(1-2*x/c)^0.5))- -(1-(1-2*x/c)^0.5)*exp(-2*x/(1-(1-2*x/c)^0.5)))/(1-2*x/c)^0.5 where 1<x<c/2, c is a positive constant. I've to show that f(1)>=x*f(x) Any ideas ? Asak Put g(x)=xf(x), and show that x=1 gives a global maximum of g(x). CB
Hi, I've tried to do that, but the derivative is a horror and I can't show that g(x)=xf(x) is a decreasing function Asak
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