What is a point of inflection?

• At AS level you encountered points of inflection when discussing?stationary points
  • When the sign of the first derivative (ie of the gradient) is the same on both sides of a stationary point, then the stationary point is a point of inflection

• A point of inflection does not have to be a stationary point however
• A?point of inflection?is any point at which a curve changes from being convex to being concave
  • This means that a?point of inflection?is a point where the?second derivative changes sign?(from positive to negative or vice versa)

• To find the points of inflection of a curve with equation?y?=?f(x):