# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | May-Jun | (P1-9709/11) | Q#2

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**Question**

A point is moving along the curve in such a way that the x-coordinate is increasing at a constant rate of 0.02 units per second. Find the rate of change of the y-coordinate when x = 1.

**Solution**

i.

We are given that;

We are required to find;

We know that;

Therefore, first we need to find for the given curve.

We are given that equation of the curve is;

Rule for differentiation is of is:

Rule for differentiation is of is:

Therefore;

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