Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | January | Q#1
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Question
Given that , , find, in their simplest form,
a.
b. .
Solution
a.
We are given;
We are required to find .
Gradient (slope) of the curve is the derivative of equation of the curve. Hence gradient of curve with respect to
is:
Therefore;
Rule for differentiation is of is:
Rule for differentiation is of is:
b.
We are required to find;
Rule for integration of is:
Rule for integration of is:
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