Write the simplified mathematical Maclaurin's expansion for f(x,y).

1021

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State Euler's theorem for the homogenous function f(x,y) with degree n.

1341

---

Define homogenous function of x and y with degree n.

1013

---

State and prove the sufficient condition for the minimum value of the function f (x,y)

1090

---

Define absolute minimum of the function f(x,y) at (a,b) ?

1093

---

Write the simplified mathematical Taylor's expansion for f(x,y)

970

---

State the necessary condition for differentiability of a function f(x,y) at a point (a,b).

1740

---

State and prove necessary condition for extreme values of the function f (x,y)

1090

---

State the working rule to determine extreme value of the function f(x,y)

1016

---

Define neighbourhood of a point in a plane

1015

---

Explain the Lagrange's method of undetermined multipliers to find extreme values of the function f (x,y,z).

1123

---

Define differentiability of a function f(x,y) at a point (a,b) of its domain.

1029

---

Write the condition for critical point (a,b) to become a function f(x,y) maximum.

1289

---

Prove that the function defined in example 24 is differentiable at (0,0).

986

---

Define absolute maximum of the function f(x,y) at (a,b) ?

1036

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