Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | Feb-Mar | (P1-9709/12) | Q#1

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Question

A curve passes through the point (4, 6) and
has an equation for which
.

Find the equation of the curve.

Solution

We are required to find the equation of the curve from the given derivative.

We can find equation of the curve from its derivative through integration;

We are given;

Therefore;

Rule for integration of  is:

Rule for integration of  is:

Rule for integration of  is:

If a point  lies on the curve , we can find out value of . We substitute values  of  and   in the equation obtained from integration of the derivative of the  curve i.e. .

We are given that curve passes through the point A(4,-6). Therefore;

Hence, equation of the curve is;

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