Question

44) Iff (x, y) = xy + (x - y), the stationary points are
1)(0,0)
2)(1,-1)
3)(1.2​

Answer 1

Answer:

1,-1

Step-by-step explanation:

its very easy bro , hiii

Answer 2

Given:

f (x, y) = xy + (x - y)

To Find:

The stationary points of the given function.

Solution:

1). (0, 0).

Let x = 0 and y = 0.

So,

f (x, y) = 0*0 + (0 - 0).

f (x, y) = 0.

2). (1, -1).

Let x = 1 and y = -1.

So,

f (x, y) = 1*(-1) + (1 - (-1)).

f (x, y) = -1 + (1 + 1).

f (x, y) = -1 + 2.

f (x, y) = 1.

3). (1, 2).

Let x = 1 and y = 2.

So,

f (x, y) = 1*2 + (1 - 2).

f (x, y) = 2 - 1.

f (x, y) = 1.

Hence, the stationary points of the function f (x, y) are (0, 0).