In this mathematics lesson students learn how to use differentiation to find the gradient function of non-linear graphs. As learning progresses they move from deriving the gradient from first principals to comparing different gradients along the same curve.

**Differentiated Learning Objectives**

- All students should be able to find the gradient function of a parabola.
- Most students should be able to find the gradient function as in instantaneous rate of change for equations in the form .
- Some students should be able to derive the gradient function from first principals;

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