f(x)= x+(1/x). If you can do ANY one of these please help? :).
Find the points on the curve at which the tangent lines pass through the point ( 1,1)?
Prove that no tangent line to the curve passes through the origin?
Prove that there is one tangent line passing though the point ( A, A ) , A cannot equal 0, and it occurs at the point with x-coordinate (a/2)?

Question

f(x)= x+(1/x).  If you can do ANY one of these please help? :).
Find the points on the curve at which the tangent lines pass through the point ( 1,1)?
Prove that no tangent line to the curve passes through the origin? 
Prove that there is one tangent line passing though the point ( A, A ) , A cannot equal 0, and it occurs at the point with x-coordinate (a/2)?

kira_yamato · Answer

Eqn of tangent

anonymous · Answer

yea i got that and im not sure what to do with it?

kira_yamato · Answer

You've got your first answer... And since f'(0) is undefined, the tangents will never pass through the origin...

anonymous · Answer

according to the answer sheet the first part is (1/2, 5/2)? and ohhh that explains the second part!

kira_yamato · Answer

Can't help you with that.... ごめん

anonymous · Answer

what does gomen mean?

anonymous · Answer

oh sorry? ...hehe...im studying japanese...

kira_yamato · Answer

Yeah....