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1. limits & continuity 2. limits & continuity a limit describes the behaviour of functions. 3. limits & continuity a limit describes the behaviour of functions.…
1. parametric coordinates 2. parametric coordinates cartesian coordinates: curve is described by one equation and pointsare described by two numbers. 3. parametric coordinates…
the basic counting principle the basic counting principle if one event can happen in m different ways and after this another event can happen in n different ways, then the…
quadratic identities quadratic identities 2 2 1 1 1 2 2 2if a x b x c a x b x c for more than 2 values of , then;x quadratic identities 2 2 1 1 1 2 2 2if…
the slope (gradient) the slope (gradient) vertical rise(1) horizontal run m the slope (gradient) vertical rise(1) horizontal run m y x the slope (gradient) vertical…
1. asymptotes 2. asymptotescurves always bend towards the asymptotes 3. asymptotescurves always bend towards the asymptotescurves never cross a vertical asymptote 4. asymptotescurves…
symmetry symmetry odd functions f x f x symmetry odd functions f x f x the curve has point symmetry about the origin …
cubics cubics 3 3 2 2 33 3a b a a b ab b cubics 3 3 2 2 33 3a b a a b ab b 3 3 2 2 33 3a b a a b ab b …
1. the slope of a tangent to a curve 2. the slope of a tangent to a curve yy f x x 3. the slope of a tangent to a curveyy f xpx k 4. the slope of a…
1. differentiability 2. differentiability a function is differentiable at a point if the curve is smooth continuous 3. differentiability a function is differentiable at a…
1. factorising 2. factorising1) look for a common factor 3. factorising1) look for a common factor2) (i) 2 terms difference of two squares 4. factorising1) look for a…
1. the discriminant 2. the discriminant b 2 4ac 3. the discriminant b 2 4ac the discriminant tells us whether the roots are rational or irrational…
1. combinations 2. combinations a combination is a set of objects where the order that they are arranged is not important. 3. combinations a combination is a set of objects…
1. the quadratic polynomial and the parabola 2. the quadratic polynomial and the parabola quadratic polynomial – 3. the quadratic polynomial and the parabola quadratic…
1. locus 2. locus locus the collection of all points whose location is determined by some stated law. 3. locuslocus the collection of all points whose location is determined…
concavity concavity the second deriviative measures the change in slope with respect to x, this is known as concavity concavity up concave is curve the,0 if …
surds surds a surd is an irrational number. it is any number that includes a radical symbol, , and cannot be calculated exactly. surds a surd is an irrational number. it…
locus problems locus problems (get rid of the p’s and q’s) locus problems (get rid of the p’s and q’s) we find the locus of a point. locus problems (get rid of the…
trigonometric ratios trigonometric ratios hypotenuse adjacent opposite trigonometric ratios hypotenuse sin opp hyp adjacent opposite cos adj hyp tan…
1. geometrical theorems aboutparabola 2. geometrical theorems about (1) focal chordsparabola 3. geometrical theorems about(1) focal chords parabola e.g. prove that the tangents…