Rates of Change (VCE SSCE Mathematical Methods): Flashcards

Rates of change

$\frac{f(b) - f(a)}{b - a}$

Gradient of secant line connecting two points

$f'(a)$ or the derivative at that point

Increasing as $x$ increases

Decreasing as $x$ increases

Instantaneous rate of change of $y$ with respect to $x$

Average rates as interval shrinks to a point

To ensure model makes physical sense (e.g., $V \geq 0$)

Temperature difference from surroundings