Find the Critical Number(s), If Any, of the Function $g ( t ) = t ^ { 2 } \ln 9 t$

question 36

Multiple Choice

Find the critical number(s) , if any, of the function $g ( t ) = t ^ { 2 } \ln 9 t$ .

• A) \(\frac { 1 } { 9 } e ^ { \frac { - 1 } { 2 } }\)
• B) \(\frac { 1 } { 9 } e ^ { \frac { 1 } { 9 } }\)
• C) \(e ^ { \frac { - 1 } { 9 } }\)
• D) \(e ^ { \frac { 1 } { 9 } }\)

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Definitions:

Cortex

The outer layer of the cerebrum in the brain, involved in various high-level brain functions such as thought, memory, and consciousness.

Lobes

Divisions of the brain or other organs marked by natural boundaries, such as the frontal, parietal, temporal, and occipital lobes of the brain.

Myelin Sheath

A fatty layer that surrounds nerve fibers, providing insulation and increasing the speed at which electrical impulses propagate along the nerve cells.

Axons

Long, slender projections of nerve cells that transmit electrical impulses away from the neuron's cell body.