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finding roots in Iteration method and newton raphson,

hello, everyone i just want to know how to find roots in** iteration** and **as well as newton raphson method**. actually this two methods comes after bisection method and false position method,( this are all numerical methods to solve problems)

i know how to solve problems in bisection and false position method very well.

but **i dont know how to solve in this two methods(i,e iteration and newton raphson)**

Actually,I missed the classes, so please i request u to explain in detail, i know how to find derivates very well,(Nerd).

ok heres the problem,