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).
- To find an estimate for the gradient:
- Draw a tangent to the curve
- Find the gradient of the tangent using Gradient =RISE ÷ RUN
- 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