What Is the Instantaneous Rate of Change of the Function $f ( x ) = e ^ { - x ^ { 2 } }$

question 129

Short Answer

What is the instantaneous rate of change of the function $f ( x ) = e ^ { - x ^ { 2 } }$ at x = 2? Round to 3 decimal places.

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Definitions:

Coronary Disease

A cardiovascular condition characterized by the narrowing or blockage of the coronary arteries, leading to reduced blood flow to the heart.

Increased Likelihood

A higher probability or chance that a particular event or outcome will occur.

Social Anxiety

The fear of social situations that involve interaction with other people, leading to feelings of inadequacy, inferiority, embarrassment, humiliation, and depression.

Evaluation Apprehension

Anxiety stemming from the fear of being judged or evaluated by others, which can influence performance and behavior in various contexts.