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Problem: newton raphson method 2x^3-2x-5, x0=1 [ Calculator, Method and examples ]

Your problem `->` newton raphson method 2x^3-2x-5, x0=1

Here `2x^3-2x-5=0`

Let `f(x) = 2x^3-2x-5`

`:. f'(x) = 6x^2-2`

`x_0 = 1`

`1^(st)` iteration :



`x_1 = x_0 - f(x_0)/(f'(x_0))`

`x_1 = 1 - (-5)/(4)`

`x_1 = 2.25`

`2^(nd)` iteration :



`x_2 = x_1 - f(x_1)/(f'(x_1))`

`x_2 = 2.25 - (13.2812)/(28.375)`

`x_2 = 1.7819`

`3^(rd)` iteration :



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