Curve-Sketching Using the Derivative (HSC SSCE Mathematics Advanced): Flashcards

Curve is increasing as $x$ increases

Curve is decreasing as $x$ increases

Curve is stationary

$f'(a) > 0$

$f'(a) < 0$

$f'(a) = 0$

Solve $f'(x) = 0$

Function is always increasing

Horizontal (gradient equals zero)

Local maxima and minima