The Derivative (VCE SSCE Mathematical Methods): Flashcards

How a function changes at any given point

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

Line passing through two points on a curve

Line that touches curve at exactly one point

$f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}$

Finding derivative by directly evaluating the limit

$2x$

$f'(a) \approx \frac{f(a+h) - f(a)}{h}$

$f'(a) \approx \frac{f(a+h) - f(a-h)}{2h}$

Line segment joining two points on a curve