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Maths C4 question

A curve has parametric equations

x=t + 1/t y=t+1
where t is not equal to 0

express dy/dx in terms of t and hence find the values of t for which the gradient of the curve is 2.

dx/dt = 1 + -t^-2

dy/dt = 1

dy/dx = dy/dt x dt/dx

Once you do get a correct value for dy/dx i presume you just equate that 2.

I dont think i have even done this differentiating part right :s-smilie: Can anyone explain this question to me? thankyou
Reply 1
Your differentiating is all correct, and your method seems sound.

Do exactly what you said:

dy/dx = dy/dt x dt/dx

Then equate to 2 just like you said, and Hey Bingo!

You know what your doing, have faith in yourself! =p
Reply 2
ok thanks :smile:

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