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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