Suppose (1, 1) Is a Critical Point of a Function

question 4

Multiple Choice

Suppose (1, 1) is a critical point of a function f with continuous second derivatives. In the case of , , what can you say about f ?

• A)f has a local maximum at (1,1)
• B)f has a local minimum at (1,1)
• C)f has a saddle point at (1,1)

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Definitions:

Circadian Rhythms

The natural, internal processes that regulate the sleep-wake cycle and repeat roughly every 24 hours, influencing physical, mental, and behavioral changes.

Magnocellular Cells

Large neurons within the magnocellular layer of the lateral geniculate nucleus, important for processing motion and low-light visual information.

Visual Cortex

The part of the cerebral cortex that processes visual information, located in the back of the brain.

Geniculostriate System

Projections from the retina to the lateral geniculate nucleus to the visual cortex.