## Concavity

Curvature of a function is a big deal

### Definition

- (Assume differntiability): Suppose $f$ is a differentiable function. We say the function $f$ is concave if: $f(x) \leq f(y) + (x-y) f'(y)$. Plot it out and you will see.

All My Bloody Notes › Bloody Maths › Essential › Concavity

Curvature of a function is a big deal

- (Assume differntiability): Suppose $f$ is a differentiable function. We say the function $f$ is concave if: $f(x) \leq f(y) + (x-y) f'(y)$. Plot it out and you will see.