Use parametric differentiation to differentiate the function defined by x = t+1/t and y = t − 1/t, and find the tangent and normal at the point T where t = 2.
I found the gradient to be 5/3

Question

anonymous · Answer

I will tell you how to do parametric differentiation..I am not sure about this second part

anonymous · Answer

i done the parametric part :P

anonymous · Answer

i cant find the equation to the tangent :(

anonymous · Answer

lol..then i am helpless

anonymous · Answer

@satellite73  @Hero @agent0smith  Help please :)

agent0smith · Answer

For the tangent line you probably want a y=mx+b equation. If you already have the slope (m) then you need to find b, by using the point that the line passes through... use t=2 to find the x and y values, and use those to find b.

The normal will be perpendicular to the tangent line, and pass through that same point.

anonymous · Answer

ok..

anonymous · Answer

we need this equation? y-y1 = m(x-x1)?

agent0smith · Answer

That works too.

anonymous · Answer

So how can we find y1 and x1?

agent0smith · Answer

Err... read the post above :P
"use t=2 to find the x and y values, and use those to find b."

anonymous · Answer

ok thanks :D i got it