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1. geometrical applications of differentiationthe first derivative 2. geometrical applicationsof differentiation ddythe first derivative y, f x , f x…
1. concavity 2. concavitythe second deriviative measures the change in slope with respect to x,this is known as concavity 3. concavitythe second deriviative measures the…
1. geometric series 2. geometric series an geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous…
1. the quadratic polynomialand the parabola 2. the quadratic polynomial and the parabolaquadratic polynomial – 3. the quadratic polynomial and the parabolaquadratic…
1. the discriminant 2. the discriminant b 2 4ac 3. the discriminant b 2 4acthe discriminant tells us whether the roots are rational or irrational 4.…
1. some different looking induction problems 2006 extension 1 hsc q4d) tan tan i use the fact that tan α β to show that1 tan tan…
1. mathematical induction 2. mathematical induction step 1: prove the result is true for n = 1 (or whatever the first term is) 3. mathematical induction step 1: prove the…
1. mathematical induction 2. mathematical induction e.g .v prove 2 n n 2 for n 4 3. mathematical induction e.g .v…
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…
1. curve sketching 2. curve sketchinglook for; 3. curve sketchinglook for;1 points of discontinu ity e.g. y , x 0, y 0…
1. mathematical induction 2. mathematical induction e.g . iii prove n n 1 n 2 is divisible by 3 3. mathematical induction …
1. series & applications 2. series & applications definitions 3. series & applications definitions sequence (progression):a set of numbers that follow a pattern…
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. geometrical applications of differentiationthe first derivative 2. geometrical applications of differentiationddythe first derivative y, f x , f x…
1. maximum/minimum problems 2. maximum/minimum problemsmaximum/minimum problems involve finding the vertex of a quadratic 3. maximum/minimum problemsmaximum/minimum problems…
1. f x f x dxn 2. f x …
geometrical applications of differentiation the first derivative geometrical applications of differentiation the first derivative dx dy xf dx d xfy…
1. sum of a geometric series 2. sum of a geometric seriess n a ar ar 2 ar n1 3. sum of a geometric seriess n a ar ar 2 …
1.sum and product of roots2. sum and product of roots if and are the roots of ax 2 bx c 0, then; 3. sum and product of roots if and are the roots…
1. quadratics and completing thesquare 2. quadratics and completing the square e.g. sketch the parabola y x 2 8 x 12 3. quadratics and completing the square e.g.…