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

1087

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

1011

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Define neighbourhood of a point in a plane

1009

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

1119

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

1023

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

1283

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

984

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

1031

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

1007

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State the necessary condition for the extreme value.

1170

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

1201

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

1348

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

981

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

1474

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

1006

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