I2: The x=g(x) Method & The Newton-Raphson Method
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From the DfE Mathematics AS and A-Level Content (LINK):
The x=g(x) Method
The x=g(x) Method
I2-01 Locating Roots: Introducing the x=g(x) Method
I2-01 Locating Roots: Introducing the x=g(x) Method
I2-02 Locating Roots: Cobweb and Staircase Diagrams
I2-02 Locating Roots: Cobweb and Staircase Diagrams
I2-03 Locating Roots: The x=g(x) Method Example 1
I2-03 Locating Roots: The x=g(x) Method Example 1
I2-04 Locating Roots: The x=g(x) Method Example 2
I2-04 Locating Roots: The x=g(x) Method Example 2
I2-05 Locating Roots: Failure of the x=g(x) Method
I2-05 Locating Roots: Failure of the x=g(x) Method
The Newton-Raphson Method
The Newton-Raphson Method
I2-06 Locating Roots: Introducing the Newton-Raphson Method
I2-06 Locating Roots: Introducing the Newton-Raphson Method
I2-07 Locating Roots: The Newton-Raphson Method Example 1
I2-07 Locating Roots: The Newton-Raphson Method Example 1
I2-08 Locating Roots: The Newton-Raphson Method Example 2
I2-08 Locating Roots: The Newton-Raphson Method Example 2
I2-09 Locating Roots: Failure of the Newton-Raphson Method
I2-09 Locating Roots: Failure of the Newton-Raphson Method
I2-10 Locating Roots: Newton-Raphson Problem
I2-10 Locating Roots: Newton-Raphson Problem