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Domain and range
Domain is the set of permitted x-values
Range is the set of permitted y-values f(x) values
x=R means x can be any of the reals
f(x)=R means f(x) can be any of the reals

Show relationship between x and y-values
Ono-to-one mapping = each x-value…

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Chain rule

u=bracketed function
y=u to a power of something

Product rule

u=one bracket
v=other bracket

Quotient rule

u=top of fraction
v=bottom of fraction

x as a function of y

To find gradient of a curve at a point, substitute x-value into differentiated equation
Stationary point is when…

Page 3

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Trigonometric functions
Cosec, sec and cot (reciprocal trigonometric functions)

Trigonometric identities

Differentiation of sin, cos and tan

Integration of sin, cos

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Exponentials and logarithms
Differentiating and integrating


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By substitution
Opposite of chain rule
Take bracketed function as u

Substitute into original
Replace u's with bracketed function

By parts

Volumes of revolution
revolution in y-axis

revolution in x-axis

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Numerical methods
Iterative method
Staircase diagram/cobweb diagram

Mid-ordinate rule

Simpson's rule


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