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Home > A-Level Further Maths > Pure > D: Further Algebra & Functions > AQA D14: Discriminants
This is for the AQA compulsory content only (LINK):
PLAYLIST
PLAYLIST
Introducing using the Discriminant
Introducing using the Discriminant
D14-01 Discriminants: Finding the Range of a Rational Function
D14-01 Discriminants: Finding the Range of a Rational Function
Finding Stationary Points
Finding Stationary Points
D14-02 Discriminants: Stationary Points of y = (x^2-4)/(x^2+4x+6)
D14-02 Discriminants: Stationary Points of y = (x^2-4)/(x^2+4x+6)
D14-03 Discriminants: Stationary Points of y = (x^2+2)/(x^2-4x)
D14-03 Discriminants: Stationary Points of y = (x^2+2)/(x^2-4x)
D14-04 Discriminants: Stationary Points of y = (12x^2+5x)/(x^2+1)
D14-04 Discriminants: Stationary Points of y = (12x^2+5x)/(x^2+1)
D14-05 Discriminants: Stationary Points of y = (5x^2+16x-16)/(5x-5)
D14-05 Discriminants: Stationary Points of y = (5x^2+16x-16)/(5x-5)
Finding the Range of Rational Functions
Finding the Range of Rational Functions
D14-06 Discriminants: Find the Range of y = (x^2+1)/(3x^2+4x)
D14-06 Discriminants: Find the Range of y = (x^2+1)/(3x^2+4x)
D14-07 Discriminants: Find the Range of y = (x^2-6)/(x^2+4x+5)
D14-07 Discriminants: Find the Range of y = (x^2-6)/(x^2+4x+5)
D14-08 Discriminants: Find the Range of y = (x^2+x-5)/(x^2+x)
D14-08 Discriminants: Find the Range of y = (x^2+x-5)/(x^2+x)
D14-09 Discriminants: Find the Range of y = (5x^2+65x+150)/(3x+5)
D14-09 Discriminants: Find the Range of y = (5x^2+65x+150)/(3x+5)
Fully Sketching Rational Functions
Fully Sketching Rational Functions
D14-10 Discriminants: Fully Sketch y = 18/(x^2+6x)
D14-10 Discriminants: Fully Sketch y = 18/(x^2+6x)
D14-11 Discriminants: Fully Sketch y = (-1-x)/(x^2+2x+2)
D14-11 Discriminants: Fully Sketch y = (-1-x)/(x^2+2x+2)
D14-12 Discriminants: Fully Sketch y = (-20x^2-30x+140)/(10x-29)
D14-12 Discriminants: Fully Sketch y = (-20x^2-30x+140)/(10x-29)
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