wth?...newtons method? (1 Viewer)

[ToO LaZy ^*]

what in the world is newtons method?
what topic is this 'newton's method' under?
coz i can't find it anywhere in my textbook (i'm using maths in focus 2: Grove) and my teacher hasn't tought us yet..

assuming it's still in the syllabus, how do i use this method?
can someone give me an example?

 

[acmilan]

It, along with another method of approximation are in the syllabus and are used to estimate roots. Maybe its under a miscellenous section? Its under 16.4 in the syllabus under Iterative methods for numerical estimation of the roots of a
polynomial equation. It gives the example of Newton's method and the halving the interval method

 

[ToO LaZy ^*]

nope..
ok, i'll tell you what topics are in my text,
geo
geometrical applications of calculus
integration
exponential and log functions
applications of calculus to the physical worl
inverse functions
series 2
locus and parabola 2
polynomials
binomia theorem
probability

and none of the sub-topics have 'newtons method'

 

[acmilan]

it should be under polynomials unless it doesnt have it at all

 

[ToO LaZy ^*]

oh sweeeeet...i found it!
cheers!

 

[gman03]

I have problems remembering the formula, so everytime they asked me a newton method question, I just draw half of parabola and a tangent and get the formula there

 

[:: ck ::]

umm x₂ = x₁ - f(x₁) / f'(x₁)

 

[...]

Originally posted by gman03
I have problems remembering the formula, so everytime they asked me a newton method question, I just draw half of parabola and a tangent and get the formula there

try draw the sine/cos curve
then draw the tangent where it is max/min (ie the tangent parrallel to the x-axis)