Find the X-Coordinate(s) of the Point(s) Where the Tangent to the Curve

question 8

Essay

Find the x-coordinate(s) of the point(s) where the tangent to the curve $y = \left( 9 - \frac { 1 } { x ^ { 2 } } \right) ^ { 2 }$ has zero slope.

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Definitions:

Action Potential

A short-lasting event in which the electrical membrane potential of a cell rapidly rises and falls, allowing neurons to transmit signals along the nerve.

Resting Potential

The electric potential difference across the membrane of a neuron at rest, critical for the transmission of nerve impulses.

Electrical Current

The flow of electric charge through a conductor, typically measured in amperes.

Potassium Ions

Essential electrolytes within the body that play a key role in various cellular functions, including nerve transmission and muscle contraction.