equals
7
Below you can see the construction of each tangent line, which is the function we set equal to 0 at each stage to solve for the next guess.
8
First iteration
9
Second iteration
14
Third iteration
19
Fourth iteration
24
When the initial guess is large, the iteration enters a stable infinite loop that will never converge to the true solution.
29
30
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Trigonometry: Period and Amplitude
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Trigonometry: Phase
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Trigonometry: Unit Circle
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Conic Sections: Parabola and Focus
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Polar: Rose
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Polar: Logarithmic Spiral
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Polar: Limacon
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Polar: Conic Sections
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Parametric: Cycloid
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Transformations: Scaling a Function
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Transformations: Inverse of a Function
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Statistics: Linear Regression
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Statistics: Anscombe's Quartet
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Statistics: 4th Order Polynomial
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Lists: Family of sin Curves
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Lists: Plotting a List of Points
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Calculus: Derivatives
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Calculus: Tangent Line
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Calculus: Taylor Expansion of sin(x)
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Calculus: Integrals
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Calculus: Integral with adjustable bounds
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Calculus: Fundamental Theorem of Calculus
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