Extremum of binary function What is the value of F (x, y) x ^ 2 + 2Y ^ 2-lnx-lny in the domain

∵ f'x = 2x-1 / x = (2x & sup2; - 1) / x, f'y = 4y-1 / y = (4Y & sup2; - 1) / y. let f'x = 0, we get x = ± 1 / √ 2. Let f'y = 0, we get y = ± 1 / 2 ∵ we get four stable points: (1 / √ 2,1 / 2), (1 / √ 2, - 1 / 2), (- 1 / √ 2,1 / 2), (- 1 / √ 2, - 1 / 2) ∵ a = f '' - x =

What is the extremum of binary function
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This should be the concept of derivative. When the derivative of a binary function is 0, the point corresponding to the value of X is the extreme point, and the corresponding y is the extreme value (with maximum and minimum). For example, a y = x ^ 2 + X. if the derivative is y '= 2X + 1 = 0 and x = - 1 / 2, the minimum is - 1 / 4
The lowest point is the minimum value, otherwise it is the maximum value

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1. If a point is an extreme point of a binary function, then this point () A: It must be a differentiable point of a function B: It must be an undifferentiable point of a function C: It must be the stationary point of the function D: Or stationary point or nondifferentiable point
2. If x = 2Y = 1 is the solution of the system of quadratic equations 32ax + by = 5AX − by = 2, find the value of a + 2B
3. Given that x = 4Y = 3 is the solution of the system ax + by = 5bx + ay = - 12, then a + B=______ ．
4. It is known that the solutions of the equations 2x + 5Y = - 6 ax by = - 4 and 3x-5y = 16 BX = ay = - 8 are the same Known equations 2x + 5Y = - 6 Ax by = - 4 and the equations 3x-5y = 16 BX=AY=-8 Find the value of (2a + b) 2007 with the same solution If I3A + B + 5L + l2a-2b-2l = 0, what is the square of 2a-3b = If the system of equations x+Y+2a If the solution of X-Y = 4A is a solution of 3x-5y-28 = 0, then a = () A1 or - 1 B 2 C 7 d 6 In the square + ax + B of the algebraic formula x, when x = 2, its value is 3, when x = - 2, its value is 19. Then the value of the algebraic formula A-B is () A -11 B11 C 3 D-3 Well, it's BX + ay = - 8
5. If the solution of the system ax + 2Y = b4x − by = 2A − 1 is x = 1y = − 1, then a=______ ，b=______ ．
6. Please write a linear equation with one variable so that the coefficient of the unknown is - 2, and the solution of the equation is x = 0.5:1______ ．
7. If the equation (AX + 1) / (x-1) - 1 = 0 about X has no solution, then a is I know that a = - 1, but if we divide the equation into x (A-1) = - 2, then a = 1 is no solution?
8. Given that x = 3 is the solution of equation 3 [(X3 + 1) + m (x − 1) 4] = 2, n satisfies the relation | 2n + m | = 1, the value of M + n is obtained
9. Given that x = 3 is the solution of equation 3 [(X3 + 1) + m (x − 1) 4] = 2, n satisfies the relation | 2n + m | = 1, the value of M + n is obtained
10. Given that x = 3 is the solution of the equation (x + 3) △ 3 + m (x-1) = 3, m and N satisfy the relation / 2n + m / = 4010, try to find the value of M + n
11. The known function f (x) = | X-1 | + | 2x-1 | + | 3x-1 | + +|100x-1 |, then when x=______ The minimum value of F (x) is obtained
12. The maximum value of the third power * cosx of y = SiNx
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20. It is proved that if the function f (x) is continuous on (- ∞, + ∞), and f (x) = ∫ (x, a) f (T) DT, then f (x) ≡ 0 Tip: prove that f (x) = CE ^ X

Extremum of binary function What is the value of F (x, y) x ^ 2 + 2Y ^ 2-lnx-lny in the domain