Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | June | Q#4
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Question
a. Find , giving each term in its simplest form.
b. Find .
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:
Rule for differentiation is of is:
b.
Second derivative is the derivative of the derivative. If we have derivative of the curve as
, then expression for the second derivative of the curve
is;
Therefore, for the given case;
Rule for differentiation is of is:
Rule for differentiation is of is:
Rule for differentiation is of is:
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