Find relative extrema

Question

f(x)=5t+1/t

Answer 1

y=5x+(1/x)

as x get kloes tu 0, 1/x blo up so y gotu infinite on rite side

gotu -infinity on left side

basik problem is tu find point as x inkreez weer 5x overcome 1/x

dy/dx=5 -1/x^2

tangent=0 at (1/x^2)=5

or x^2=1/5

or x=1/root(5)

at this point, y=5*[1/root(5)] +root(5)

y= [5/root(5)]   +root(5)

  but root(5)=5/root(5)

y=(5+5)/root(5)

=10/root(5)

=10/2.236067977

=4.472135955