# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2008 | January | Q#5

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**Question**

**a. **Write in the form where p and q are constants.

Given that , x > 0,

**b. **find , simplifying the coefficient of each term.

**Solution**

**a.
**

We are given;

**b.
**

We are given;

We are required to find;

Therefore;

Rule for differentiation of is:

As demonstrated in (a);

Therefore;

Rule for differentiation of is:

Rule for differentiation is of is:

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