We describe mysterious functions

Work in groups of 3–4, writing your answers on a separate sheet of paper.

Consider the differentiable function where:
(a)
Write down the second degree Taylor polynomial for centered at .
(b)
Is the point a local min, a local max, a saddle, or none of these?
Consider the differentiable function where:
(a)
Write down the second degree Taylor polynomial for centered at .
(b)
Is the point a local min, a local max, a saddle, or none of these?
Consider the differentiable function where:
(a)
Write down the second degree Taylor polynomial for centered at .
(b)
Is the point a local min, a local max, a saddle, or none of these?
Consider the differentiable function where:
(a)
Write down the second degree Taylor polynomial for centered at .
(b)
Let parameterize a line from to as runs from to . Compute .
(c)
Is the point a local min, a local max, a saddle, or none of these?
Consider the differentiable function where:
(a)
Write down the second degree Taylor polynomial for centered at .
(b)
Let parameterize a line from to as runs from to . Compute .
(c)
Is the point a local min, a local max, a saddle, or none of these?