Find (By Hand) All Critical Numbers and Use the First

question 109

Multiple Choice

Find (by hand) all critical numbers and use the First Derivative Test to classify each as the location of a local maximum, local minimum or neither. y = x^4/3 - 8x^1/3 - 6

• A) x = 0 (neither)
• B) x = -2 (local maxima)
• C) x = -2 (local minima)
• D) x = 2 (local minima), x = 0 (neither)

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Definitions:

Sodium

A chemical element, symbol Na, essential for human health, playing a key role in nerve function and fluid balance but excessive intake can lead to health issues.

Trigeminal Neuralgia

A chronic pain condition affecting the trigeminal nerve, causing intense facial pain.

Mechanical Soft Diet

A type of nutritional plan consisting of foods that are easy to chew and swallow, often recommended for individuals with difficulty in eating.

Constipation

A condition characterized by difficulty in emptying the bowels, typically associated with hardened feces.