Flashcards
Maths Things to Learn
Cards in this deck (26)
- 1What is the domain?The set of numbers for which a function is defined
- 2What two things does a function consist of?1) A defining rule
2) It's domain - 3What is the condition for an inverse function to exist?The function must be one-one
- 4What four steps do you take to find the inverse function?1) Write y = f (x)
2) Rearrange the equation to make x the new subject
3) Interchange x and y
4) The new expression for y is the inverse - 5What is the range?The set of values the function takes for the given domain
- 6A translation of [a/b] transforms the graph of y = f (x) into the graph of...... y = f (x - a) + b
- 7A reflection in the line y = 0 transforms the graph of y = f (x) into the graph of...... y = - f (x)
- 8A reflection in the line x = 0 transforms the graph of y = f (x) into the graph of...... y = f (- x)
- 9How is the graph of y = f (x) transformed into the graph of y = d f (x)?By a stretch of scale factor d in the y direction
- 10How is the graph of y = f (x) transformed into the graph of y = f (x/c)?By a stretch of scale factor c in the x direction
- 11What is |x| when x > 0?x
- 12What is |x| when x < 0?- x
- 13sec x is...1 / cos x
- 14cosec x is ...1 / sin x
- 15cot x is ...1 / tan x
which is also
cos x / sin x - 16What are the three sec, cosec and cot identities?1) cos² O + sin² O = 1
2) tan² O + 1 = sec² O
3) cot² O + 1 = cosec² O - 17The derivative of y = eˣ ? [ dy/dx(eˣ) ]eˣ (the same)
- 18The derivative of eᴷˣ ? [ d/dy(eᴷˣ) ]k eᴷˣ
- 19The integral of eᴷˣ? [ ∫eᴷˣ .dx ](1/k) eᴷˣ + constant
- 20What is a natural logarithm and how is it abbreviated?A logarithm to base e
Abbreviated to In - 21In 1 =0
- 22In e =1
- 23Since 'taking the natural logarithm' and 'finding e to the power of' are inverse operations, what two rules follow?1) eᴵⁿ ᵇ = b
2) In (eᵇ) = b - 24The derivative of In x ?1/x
- 25The integral of 1/x ? [ ∫1/x .dx ]In + constant
- 26What is the Quotient Rule chant?Low D High minus High D Low all over the square of what's below
[where u = high and v = low]
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- A2 A2 Level Flashcards on Maths Things to Learn, created by Emilly Todd on 26/10/2015.
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- Emilly Todd
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