Describe how the sign of at a point on a curve determines the curve’s local concavity…

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Describe how the sign of

\dfrac{d^{2}y}{dx^{2}}

at a point on a curve determines the curve’s local concavity at that point. State both possible cases.