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HSC Mathematics Advanced

    Preparation
  1. Foundations

  2. Year 11
  3. Working with Functions

  4. Trigonometric Functions

  5. Introduction to Differentiation

  6. Exponentials and Logarithms

  7. Discrete Probability Distributions

  8. Year 12
  9. Graphing Techniques

  10. Further Derivatives

  11. Modelling Financial Situations

  12. Integral Calculus

  13. Descriptive Statistics and Bivariate Data

  14. Continuous Random Variables

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Further Derivatives
This second course on calculus introduces the derivatives of exponential, logarithmic and exponential functions. These derivatives are then used to introduce the second derivative and concavity.
Exponentials and Logarithms
 
 
1
Exponential Derivatives
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2
Logarithmic Derivatives
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Trigonometric Derivatives
 
 
3
Trigonometric Derivatives
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Derivative Applications
 
 
4
Stationary Points
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5
Second Derivatives
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6
Inflections and Extremes
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7
Simple Optimisation
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