00:04
In this question, the given function is, so given function is we have g u ,v this is equals to 1 plus uv whole divided by 1 minus u divided by v.
00:25
Now first of all what we will find? so first of all we will find del g over del u.
00:36
So this is equals to what? this is equals to 1 minus u divided by v.
00:43
This is multiplied by del over del u multiplied by this is del over del u of 1 plus uv minus 1 plus uv multiplied by del over del u of 1 minus u divided by v and this whole is divided by what? whole is divided by 1 minus u divided by v whole square.
01:13
Now we will simplify it.
01:15
So simplifying it we will get this is equals to 1 minus u divided by v del over del u of 1 plus uv is v minus we have 1 plus uv multiplied by minus 1 divided by v whole is divided by 1 minus u divided by v whole square.
01:37
So this is equals to what? so this is equals to we have u v minus u plus we have 1 divided by v plus u whole divided by 1 minus u divided by v whole square.
01:54
Now we will further simplify it.
01:56
So this is equals to we have v plus 1 divided by v whole divided by v minus u whole divided by v whole square.
02:06
So this on simplifying we get this is equals to we have v multiplied by v square minus 1 whole divided by v minus u whole square.
02:19
Now we will find what? so this is the dg over du...