# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2014 | June | Q#7

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**Question**

Differentiate with respect to x, giving each answer in its simplest form.

**a) **

**b) **

**Solution**

**a. **

We are given;

We are required to find .

Gradient (slope) of the curve is the derivative of equation of the curve. Hence gradient of curve with respect to is:

Therefore;

We have algebraic formula;

Rule for differentiation is of is:

Rule for differentiation is of is:

Rule for differentiation is of is:

**b. **

We are given;

We are required to find .

Gradient (slope) of the curve is the derivative of equation of the curve. Hence gradient of curve with respect to is:

Therefore;

Rule for differentiation is of is:

Rule for differentiation is of is:

Rule for differentiation is of is:

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