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State and prove the sufficient condition for the minimum value of the function f (x,y)
Define absolute minimum of the function f(x,y) at (a,b) ?
Write the simplified mathematical Taylor's expansion for f(x,y)
State the necessary condition for differentiability of a function f(x,y) at a point (a,b).
State and prove necessary condition for extreme values of the function f (x,y)
State the working rule to determine extreme value of the function f(x,y)
Define neighbourhood of a point in a plane
Explain the Lagrange's method of undetermined multipliers to find extreme values of the function f (x,y,z).
Define differentiability of a function f(x,y) at a point (a,b) of its domain.
Write the condition for critical point (a,b) to become a function f(x,y) maximum.
Prove that the function defined in example 24 is differentiable at (0,0).
Define absolute maximum of the function f(x,y) at (a,b) ?
State and prove Taylor's theorem for f(x,y)
State the necessary condition for the extreme value.
Under what condition the critical point (a,b) will be saddle point ?
