#### Revision Notes

##### What is the gradient of a graph?

The gradient of a graph at any point is equal to the gradient of the tangent to the curve at that point.  Remember that a tangent is a line that just touches a curve (and doesn’t cross it).

##### How to estimate the gradient of & the area under a graph

Remember that a tangent is a line the just touches a curve (and doesn’t cross it).

1. To find an estimate for the gradient:
• Draw a tangent to the curve
• Find the gradient of the tangent using Gradient =RISE ÷ RUN
2. To find an estimate for the area:
• Split area into vertical strips
• Draw straight lines at top of strips
• Find area of strips (trapeziums) using Area = ½(a + b)h

## Want to aim for a Level 9?

See if you’ve got what it takes. Test yourself with our topic questions.

### Author: Simon

After 24 years teaching A Level Further Maths, Maths whizz Simon focused his attention on tutoring. He’s helped thousands of young people make sense of Maths and now he’s helping you too – aren’t you lucky! He’s even worked as an Edexcel examiner, so knows exactly what they’re looking for.