Karteikarten
C2 key points
Karten in diesem Stapel (9)
- 1Algebra and functionsAlgebraic division by (x ± a)
Remainder theorem: When f(x) is divided by (x – a), f(x) = (x – a)
Q(x) + R where Q(x) is
the quotient and R is the remainder
Factor theorem: If f(a) = 0 then (x – a) is a factor of f(x) - 2Coordinate geometryCircle, centre (0, 0) radius: x^2+ y^2= r^2
Circle centre (a, b) radius r: (x – a)^2
+ (y – b)^2 = r^2
Useful circle facts:
The angle between the tangent and the radius is 90°
Tangents drawn from a common point to a circle are equal in length
The centre of a circle is on the perpendicular bisector of any chord
The angle subtended by a diameter at the circumference is 90° - 3Sequences and Series
- 4trigonometry
- 5trigonometry 2
- 6trigonometry 3
- 7Exponentials and LogarithmsIf y = a^x then loga(y) = x
Laws of logarithms: loga(pq) = loga(p) + loga(q)
Other useful results: logax =logbx/logba
log , loga1 = 0, loga(a) = 1 - 8DifferentiationIf dy/dx = 0 d2x/dy2 > 0 it is a minimum
If dy/dx = 0 d2x/dy2 < 0 it is a maximum
For an increasing function, dy/dx > 0
d > 0, for a decreasing function, dy/dx < 0
Maxima and minima problems:
(a) Find the point at which f´(x) = 0.
(b) Find the nature of the
turning point to confirm that the value is a maximum or minimum as required.
(c) Make sure that all
parts of the question have been answered
(e.g. finding the maximum/minimum as well as the value
of x at which it occurs). - 9Integration
Informationen
- Beschreibung
- AS level Maths (Core 2 edexcel) Karteikarten am C2 key points, erstellt von Saavik Hipkins am 21/04/2017.
- Erstellt von
- Saavik Hipkins
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- 18
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