C1 Maths Tricky Bits

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  • Created by: naomi-s
  • Created on: 04-04-15 16:01
What to do with a fraction with SURDS in?
rationalise the denominator!
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What is RATE OF CHANGE?
basically just the gradient!
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How do I know if a function is INCREASING or DECREASING?
positive gradient = INCREASING negative gradient = DECREASING
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How do I know if it is a MAXIMUM or MINIMUM point?
Differentiate again to find d^2y/dx^2 (the second derivative).--> if SMALLER than 0 it is a MAXIMUM POINT --> if BIGGER than 0 it is a MINIMUM POINT
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How do I multiply fractions?
a/b x c/d = ac/bd
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What is a RATIONAL number?
a number that can be written as a FRACTION e.g. 1.5 can be written as 3/2
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What is a vertex?
the minimum/maximum point of a graph :)
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How to find the line of symmetry of a curve?
It crosses the vertex (minimum/maximum point)
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Types of Geometrical Transformations?
3 types: Translations (write as vectors!), Stretches, Reflections. Horizontal movements are inside brackets. Vertical movements are outside of brackets :)
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Remainder Theorem
sub in the number to the polynomial :) e.g. f(2)=(2x8)-(3x4)-(3x2)+7=5 --> remainder = 5 :D
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Factor Theorem
sub in the number to the polynomial and get 0 :)
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Other cards in this set

Card 2

Front

What is RATE OF CHANGE?

Back

basically just the gradient!

Card 3

Front

How do I know if a function is INCREASING or DECREASING?

Back

Preview of the front of card 3

Card 4

Front

How do I know if it is a MAXIMUM or MINIMUM point?

Back

Preview of the front of card 4

Card 5

Front

How do I multiply fractions?

Back

Preview of the front of card 5
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