00:01
Hi there, as far as i read from your question, the x is defined as t over 1 plus t squared.
00:08
If i'm not wrong, so if i'm wrong, please just send your photo very clearly.
00:16
So x is defined as t over 1 plus t squared.
00:20
So i can just take the derivative of x with respect to t, which is, so i'm going to just apply the division rule.
00:27
The derivative of the top times 1 plus t squared and minus the derivative of the bottom times the top divided by 1 plus t squared squared squared so if i so this is the d x over d t by the way so the d x over d t let me just simplify this this is um 1 plus t squared minus 2 t squared so that is 1 minus t squared and divided by 1 plus t squared to the power 2 so the y also define in terms of t, let's take dy over dt, which is 1 over 2 radical 1 plus t.
01:08
So the dy over the x, so i can get the dy over dx as dy over dt divided by dx over dt.
01:17
So the dy over dt, which is 1 over 2 radical 1 plus c, and it is divided by 1 plus t squared over 1 plus t squared to the power 2.
01:28
If i do the multiplication, which is 1 plus t squared to the power 2 divided by 1 minus t squared times 2 radical 1 plus t...