表达式9: "x" Subscript, 2 , Baseline equals "x" Subscript, 1 , Baseline minus StartFraction, "f" left parenthesis, "x" Subscript, 1 , Baseline , right parenthesis Over "f" prime left parenthesis, "x" Subscript, 1 , Baseline , right parenthesis , EndFractionx2=x1−fx1f′x1
9
表达式10: "x" Subscript, 3 , Baseline equals "x" Subscript, 2 , Baseline minus StartFraction, "f" left parenthesis, "x" Subscript, 2 , Baseline , right parenthesis Over "f" prime left parenthesis, "x" Subscript, 2 , Baseline , right parenthesis , EndFractionx3=x2−fx2f′x2
10
表达式11: "x" Subscript, 4 , Baseline equals "x" Subscript, 3 , Baseline minus StartFraction, "f" left parenthesis, "x" Subscript, 3 , Baseline , right parenthesis Over "f" prime left parenthesis, "x" Subscript, 3 , Baseline , right parenthesis , EndFractionx4=x3−fx3f′x3
11
表达式12: StartRoot, 3 , EndRoot3
12
Below you can see the construction of each tangent line, which is the function we set equal to 0 at each stage to solve for the next guess.
