00:01
In this problem, we have to find the gradient of the function at the given point.
00:06
So function is here, f xy is, xy is equal to xx plus 4y square plus 10.
00:19
And the point is given to 1.
00:23
So we have to find the gradient.
00:25
So first we will find the gradient del f xy that is equal to del f, del f, x ,y.
00:33
Del f by del x i plus del f by del y j because the function is in two variables so we have i and j here now we will find del f by del x and del f by del y first we will find del f by del x that is del by del x that is del by del x and f is 3x plus 4 y square plus 10 so taking partial derivative we have here 3 so del f by del x is 3.
01:06
Similarly, we will find del f by del y, that is the partial derivative of function f with respect to y.
01:14
So del y, del y, and 3x plus 4y square plus 10.
01:20
So this partial derivative is 8y...
