## Critical Points and Point of Inflection

Critical Points and Point of Inflection

Slope of the Tangent Line

Slope of the Tangent Line

•f
’(a) is the slope of the tangent line to the
graph of f at x = a.

This
tangent slope interpretation of f has
several useful geometric implications.

The
values of the derivative enables us to detect when a function is increasing or
decreasing.

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