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Mathematics - Coggle Diagram

- - - - Gradient function for a given
        exponential function
  - - - Increasing, decreasing or
        stationary at a given point
      - Where its stationary points are located
      - Local maximum, local minimum or neither
      - Greatest or least value of a function over a given domain and difference between local and global minima and maxima
    - - Concavity and points of inflection
      - Concavity and the nature of stationary points
      - When the second derivative = 0, it is not necessarily a point of inflection
  - - - Relationships between variables
        related to contexts involving optimisation
      - Location of local and global maxima and minima
      - Constraints of the domain and conclusions
  - - - Families of anti-derivatives
  - - - Effect of increasing the number of shapes
    - - Geometric arguments
      - Formula
- - - - Annuity; an investment account with regular, equal contributions and interest compounding at the end of each period, or a single-sum investment, from which regular, equal withdrawals are made
      - Annuity as a recurrence relation and the effect of varying the interest rate or the amount and frequency of each contribution or a withdrawal on the duration and/or future or present value of the annuity
      - Table of interest factors
  - - - Behaviour
      - Notation
  - - - Effective annual rate of interest
      - Compound interest loans or investments,
      - Reducing balance loan
    - - Future value or present value of an annuity
      - Tables of future values or annuities
- - - - Suitability of different methods of data presentation
    - - Real-world examples
  - - - Form, direction and strength of association
      - IV and DV
      - Real-world examples
    - - Fit a line of best fit to the data
      - Fit a least-squares regression line to the data
      - Intercept and gradient
  - - - Properties
      - Area under the graph
      - Contexts
      - Mode
    - - Meaning
      - Median and percentiles
  - - - Contexts
      - Features
      - Area under a curve