Browsing by Australian Curriculum Mathematical Methods

Sub-topics:  ACMMM081 examine the behaviour of the difference quotient f(x+h)−f(x)hfx+h-f(x)h as h→0h→0 as … (0)  ACMMM082 define the derivative f’(x)f’x as limh→0f(x+h)−f(x)hlimh→0⁡fx+h-f(x)h (0)  ACMMM083 use the Leibniz notation for the derivative: dydx=limδx→0δyδxdydx=limδx→0⁡δyδx and th… (0)  ACMMM084 interpret the derivative as the instantaneous rate of change (0)  ACMMM085 interpret the derivative as the slope or gradient of a tangent line of the graph of y… (0)