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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. geometrical applications of differentiationthe first derivative 2. geometrical applicationsof differentiation ddythe first derivative y, f x , f x…
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…
1. the quadratic polynomialand the parabola 2. the quadratic polynomial and the parabolaquadratic polynomial – 3. the quadratic polynomial and the parabolaquadratic polynomial…
1. the quadratic polynomialand the parabola 2. the quadratic polynomialand the parabolaquadratic polynomial – 3. the quadratic polynomialand the parabolaquadratic polynomial…
1. the discriminant 2. the discriminant24b ac 3. the discriminant24b ac the discriminant tells us whether the roots are rational or irrational 4. the…
1. quadratic identities 2. 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 3. quadratic identities 2 2 1…
1. maxima & minimaproblems 2. maxima & minima problemswhen solving word problems we need to; 3. maxima & minimaproblemswhen solving word problems we need to;(1)…
curve sketching curve sketching look for; curve sketching 0,0, 1 e.g.ity discontinu of points yx x y look for; curve sketching 0,0, 1 e.g.ity discontinu of points…
1. maximum/minimum problems 2. maximum/minimum problemsmaximum/minimum problems involve finding the vertex of a quadratic 3. maximum/minimum problemsmaximum/minimum problems…
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 thesquaree.g. 2sketch the parabola 8 12y x x 3. quadratics and completing…
1. sum and product of roots 2. sum and product of roots 2 if and are the roots of 0, then;ax bx c 3. sum and product of roots 2 if and are the roots of…
1. the sign of a quadratic 2. the sign of a quadratic positive definite y x 3. the sign of a quadratic positive definite y x 4. the sign of a quadratic positive definite…
1. equations reducible to quadratics 2. equations reducible to quadratics4 2e.g. ( ) 4 12 0i x x 3. equations reducible to quadratics4 2e.g. ( ) 4 12 0i x x…
equations reducible to quadratics equations reducible to quadratics 4 2e.g. ( ) 4 12 0i x x equations reducible to quadratics 4 2e.g. ( ) 4 12 0i x x …
1. f x f x dx n 2. f x f x dxn f x n1 c f x f x dx n n 1…
1. geometrical applications of differentiation the first derivative 2. geometrical applications of differentiation the first derivative dx dy xf dx…
1. f x f x dx n 2. f x f x dx n f x n1 c f x f x dx nn 1 3.…