00:01
Hello, student.
00:01
Here z x, y is given as 6y x square plus 5 xy plus 3xy square.
00:16
We need to find its partial derivative of z with respect to x.
00:21
In that case, we will treat y as a constant.
00:24
So, del z upon del x equals, we will treat y as constant.
00:31
So, it will be 12yx plus 5y plus 3 times y square.
00:45
Now, we need to find the value of del z by del x at x is equal to 2 and y is equal to, so its value will be 12.
01:06
Let us put the value of y and x multiplied by y multiplied by x plus 5 multiplied by y plus 3 multiplied by y square, that is 4 square.
01:22
And that gives us the value 96 plus 20 plus 48 and sum of this is equals to 164.
01:37
Now, we need to calculate the del z by del y, which is we need to do the partial derivative of z with respect to y...