00:01
Question we are given with a function f x comma y comma z that is given by x square plus 5x minus z square in minus 55.
00:18
Now, we will be finding its partial derivative with respect to x.
00:22
So, here it will be 1 into y square and plus 5.
00:27
Then its partial derivative with respect to y.
00:31
So, this will be equals to 2xy and its partial derivative with respect to z.
00:38
So, that will be minus 2z.
00:41
Now, equation of tangent.
00:44
Now, equation of tangent is given by equation of tangent is given by x minus 4 and f x x minus 4 f x at 4 minus 3 1 plus y and plus 3.
01:05
So, because points are given we are given with the points p which is 4 minus 3 and 1.
01:13
So, here it will be y plus 3 and f of y at 4 minus 3 and 1 plus z minus 1 and here it will be f z at 4 minus 3 1.
01:30
So, we have to substitute the values and this is equals to 0.
01:35
So, from here we get x minus 4 and f x...
