Stationary Points and Turning Points (HSC SSCE Mathematics Advanced): Flashcards

$f'(x) = 0$

Horizontal

Increasing to decreasing

Decreasing to increasing

$f'(x)$ changes sign

Tangent crosses curve, concavity changes

$f'(x) = 0$ and concavity changes

Curves upward (like ∪)

Curves downward (like ∩)

Where $f'(x) = 0$ or $f'(x)$ discontinuous