**Differentiation**

**Introducing the Rate of Change**

- What is the rate of change
- Rate of change
**vs.**Slope**vs.**Gradient

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**From 1st principles**

**(not required for GCSE but a useful video for those student who would like a challenge)**

**(not required for GCSE but a useful video for those student who would like a challenge)**

- What is.... from 1st principles
- Derivative of a non-linear equation using 1st principles.
- An example

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**The Power Rule**

- What is the power rule
- Finding the derivative of an equation using the power rule
- Some examples of using the power rule

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**Finding the equation of the Tangent Line at a point on the curve**

Tangent Lines are linear of the form** y = mx + b**

- The derivative of the curve at point
**'a'**gives the slope '**m**' of the tangent line at that point - With the coordiantes of our point
**'a'**and the slope '**m**', use the slope formula

**m = (y - y1)/(x - x1)**

to workout the equation of the tangent line

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