Math Playground
Calculus

Inflection points

Where the curve changes its bend — concave up flips to concave down.

Inflection points are where the curve changes from concave up to concave down (or vice versa) — second derivative changes sign.

Try it

f(x) = x³, find inflection point

f''(x) = 6x. Sign changes at x = 0. Inflection at (0, 0).