The Newton-Raphson Algorithm Is Applied to Estimate a Zero of F(x)

Multiple Choice

The Newton-Raphson algorithm is applied to estimate a zero of f(x) with $x 0$ = 3. Which of the following statements is true?

A) $\mathrm { x } _ { 1 }$ = 3 - $\frac { f ^ { \prime } ( 3 ) } { f ( 3 ) }$
B) $\mathrm { x } _ { 1 }$ = 3 + $\frac { f ^ { \prime } ( 3 ) } { f ( 3 ) }$
C) $\mathrm { x } _ { 1 }$ = 3 - $\frac { f ( 3 ) } { f ^ { \prime } ( 3 ) }$
D) $\mathrm { x } _ { 1 }$ = $\frac { f ^ { \prime } ( 3 ) } { f ( 3 ) }$
E) none of these