Instantaneous Rate of Change (VCE SSCE Mathematical Methods): Flashcards

How fast a function changes at a particular moment

Speed now, not average over trip

Line with same slope as curve at that exact point

Line passing through two points on a curve

Gradient of tangent line at that point

Gradient of secant through two very close points

Better approximation

Approach the tangent line

Appears increasingly linear

$\frac{y_2 - y_1}{x_2 - x_1}$