Unit 8 - Differential Calculus

Unit Objectives
  • Index laws (Video 8.1)
  • Relationship between gradient of curve at a point and first derivative [7.1] (Video 8.2)
  • Find gradient of a curve at a point using a tangent on a graph [7.3]
  • Find gradient function through differentiation [7.3]
  • Differentiate polynomials [7.2] (Video 8.3) (Video 8.4)
  • Determine whether a function is increasing or decreasing [7.4] (Video 8.5)
  • Find stationary points and state their nature [7.5] (Video 8.6) (Video 8.7) (Video 8.8)
  • Use differentiation to find the equation of a tangent and normal to a curve [7.3] (Video 8.9)
  • Understand derivatives as rates of change [7.1]
  • Apply differentiation to solve optimisation problems [7.6]
Lesson Resources​
1. Laws of Indices
 2. Gradients of a Graphs
4. Different Letters and Brackets
5. ​Gradient at a given point
6. Find point given gradient
7. Tangents
8. Normals
9. Differentiating Negative Powers
10. More Normals and Tangents
11. Stationary Points
12. Optimisation
13. Rates of Change
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