Newton's Method - How it Can FAIL - More Examples Part 3 of 3
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There are more reasons why it might fail; 1) It will only give you ONE solution, where the function you used clearly has two, 2) If function has no solutions the "guesses" will fluctuate wildly, 3) The tangent line of the first guess will cross x-axis at the second guess, then the tangent line of the second guess could cross the x-axis at the first guess, creating a cycle where you will get no closer to the solution (the cycle might have more than two "steps").
PLdrummer 9 months ago
hey uhm do you have any calculus vids that can use calculus to get the area of 2 functions when it goes into one?
dajakesta1234 9 months ago
@voidzilla It requires the stronger condition of differentiability to even bother considering using Newton's Method
gremlinextreme101 9 months ago
I would really go to the college that you are currently teaching at
Beijing4Life 9 months ago
Don't forget that if f(x) is not continuous Newtons Method will fail.
voidzilla 9 months ago