Let

question 85

Essay

Let .
A) Find and , if they exist.
B) Use the definition of differentiability at a point to determine whether is differentiable at the origin.

• A) Find and , if they exist.
• B) Use the definition of differentiability at a point to determine whether is differentiable at the origin.

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Definitions:

Venous Valves

Structures within veins that prevent the backward flow of blood, crucial for blood returning to the heart.

Tunica Media

The middle layer of the wall of a blood vessel consisting mainly of smooth muscle cells and elastic fibers, responsible for regulating the diameter of the vessel.

Lumen

The inside space of a tubular structure, such as a blood vessel or intestine.

Carotid Sinus

A dilated area at the base of the internal carotid artery that contains receptors to help regulate blood pressure.