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Core 2 Revision notes
This is how I think about/answer some common exam questions. This does not necessarily
cover every question that could come up in your C2 exam. It does not include modelling
Differentiation questions
Type 1
Question just asks you to differentiate.

If , then for n…

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E.g. Q: Find the coordinates and the nature of the turning points of the graph

A: , , , , or
Remember to substitute into original equation to find y coordinates of
turning points.

when ,

when ,

coordinates of turning points are and
To determine the nature,

Substitute in…

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Step 0: Sub the x value into the original equation to find the corresponding y vaule.
(You might be able to miss this step out if you already know from the question what
the y value is)
Step 1: Differentiate original curve.
Step 2: Sub in the x value. This…

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a h h b

Type 3
This type of question asks you to find the areas on graphs. Remember any area
under the x axis will come out negative. This means in many questions you will need
to divide the area up into sections and find each bit individually.…

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These are simultaneous equations, to solve first rewrite as,


Trigonometric equations
First step for solving trigonometric equations is to re write equation so that it only
contains one trigonometric function. This can be achieved using trigonometric

identities. i.e. If have , use identity to re write equation

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Solving equations when the unknown is the power.
Step 1: Make it as simple as possible.
Step 2: Take logs of both sides
Step 3: Bring the power down
Step 4: Sort out whatever is left over


Dinah Iwo




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