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

541

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

839

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

559

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

575

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Define neighbourhood of a point in a plane

567

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

613

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

570

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

545

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

518

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

547

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

578

---

State the necessary condition for the extreme value.

564

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

633

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

520

---

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

546

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