A curve has parametric equations x=2t-ln2t and y=t²-ln t² where t>0. Find the value of t at the point on the curve where dy/dx =2 . Hence ,find the coordinates of that point?

1 Answer
Aug 30, 2015

Coordinates of the point would be x=4-ln4 and y= 4-ln4

Explanation:

dx/dt=2-1/t and dy/dt= 2t-2/t

Since dy/dx=2, 2-1/t=t-1/t. That gives t=2.

Hence coordinates of the point would be x=4-ln4 and y= 4-ln4