Inflection Point

A mathematical inflection point is a point where a curve changes concavity. It need not be a maximum, minimum, or reversal. Strategic inflection is a distinct metaphor for consequential changes in business fundamentals.

In calculus, an inflection point is a point on a curve where concavity changes. For a sufficiently smooth function, a change in the sign of the second derivative is a useful test. A zero second derivative alone is not enough, and an inflection need not be a maximum, minimum, or reversal in the direction of movement.

Strategic inflection is a separate business metaphor for changed fundamentals. A bend in measured growth does not establish that a strategy is obsolete, and an important strategic change need not appear as a mathematical inflection. Distinguish the curve property from the causal explanation and the practical response.

When to use it

When growth dynamics are shifting. When industry fundamentals are changing. When your established playbook stops working. When new technologies or competitors change the rules.

How it can help

Identify the intended meaning, inspect concavity and model uncertainty for a curve, and seek separate causal evidence when a strategic change is claimed.