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

1076

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

1000

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Define neighbourhood of a point in a plane

997

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

1106

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

1013

---

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

1275

---

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

973

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

1017

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State and prove Taylor's theorem for f(x,y)

996

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State the necessary condition for the extreme value.

1147

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Under what condition the critical point (a,b) will be saddle point ?

1187

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Define Continuity of a function f(x,y) at a point (a,b) ?

1340

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

964

---

State Taylor's theorem and hence obtain Macluarin's expansion in simplified form

1463

---

State and prove sufficient condition for differentiability of the function f(x,y).

997

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