If F(x) = X(x - 6)² , Find the Intervals

question 490

Essay

If f(x) = x(x - 6)² , find the intervals where f is concave up and where f is concave down.

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Definitions:

Flammable

Easily ignited and capable of burning rapidly; used to describe substances that pose a significant fire risk.

Nontoxic

Substances that do not pose a risk of harm or poison to humans, animals, or the environment.

Stable

A state of equilibrium or the absence of significant change, often describing systems that return to equilibrium after a disturbance.

Environmental Damage

Harmful effects on the natural environment caused by human activities, including pollution, habitat destruction, and depletion of resources.