Section 11 - Differential Calculus
Learning intentions:
In this section we will examine:
- A brief introduction to limits
- The definition of differentiation using first principles
- Rule for differentiating polynomial and power functions
- Conditions of differentiation
- The relationship between a function and its derivative
- Applications of differentiation
Introduction:
Section 11 builds on knowledge developed in Section 10 on rates of change.
Contents:
- 11A - An introduction to limits
- 11B - Differentiation from first principles
- 11C - Conditions for differentiability
- 11D - Differentiation of polynomial functions
- 11E - Differentiation of power functions
- 11F - Differentiation of other functions*
- 11G - Nature of stationary points
- 11H - Relationship between functions and derivatives
- 11I - Applications of differentiation
- 11J - Continuity and smoothness
- Section 11 - Resources
*Not required for VCE Mathematical Methods Unit 1 and 2
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