# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2008 | June | Q#4

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**Question**

,

**a. **Differentiate to find .

Given that ,

**b. **Find the value of x.

**Solution**

**a.
**

We are required to differentiate;

Rule for differentiation of is:

Rule for differentiation of is:

Rule for differentiation is of is:

**b.
**

We are given that;

We have found in (a) that;

We are given that x>0, therefore;

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