Max & Min Points (Turning Points) (Leaving Cert Mathematics): Flashcards

Turning points

Where graph turns from increasing to decreasing or vice versa

$0$ (completely flat)

Differentiate the function

Set $f'(x) = 0$

Substitute $x$ values into original function

Determine if turning point is local max or min

$f''(x_1) > 0$

$f''(x_1) < 0$

Neither increasing nor decreasing