If Newton's Method is used to locate a root of the equation f(x)=0f(x)=0 and the initial approximation is x_1=2x1=2, find the second approximation x_2x2?
Full question below
"Suppose that the tangent line to the curve y=f(x)y=f(x) at the point (3,8)(3,8) has the equation y=5-3xy=5−3x . If Newton's Method is used to locate a root of the equation f(x)=0f(x)=0 and the initial approximation is x_1=2x1=2 , find the second approximation x_2x2 ?"
PLEASE APPLY CALCULUS I METHODS.
I have solved the equation with my own efforts, check my answer please?
Full question below
"Suppose that the tangent line to the curve
PLEASE APPLY CALCULUS I METHODS.
I have solved the equation with my own efforts, check my answer please?
1 Answer
Nov 29, 2016
Explanation:
set information given
f(x)=5-3x ,f'(x)=-3
Newton's Method formula
- translate with
f(x),f'(x) \rArrx_(n+1)=x_n-(5-3x_n)/(-3) x_2=x_1-(5-3x_1)/(-3)
calculations
therefore the answer is