The standard backward difference approximation of $y ^ { \prime } ( x )$ is
A) $( y ( x + h ) - y ( x ) ) / h$
B) $( y ( x ) - y ( x - h ) ) / h$
C) $( y ( x + h ) - y ( x ) ) / h ^ { 2 }$
D) $y ( x + h ) - y ( x )$
E) $y ( x ) - y ( x + h )$

Question

Quizplus · Accepted Answer

The standard backward difference approximation of the first derivative $y'(x)$ is given by $(y(x) - y(x - h))/h$, which represents the slope of the function y at point x, using the previous point $x-h$.

The Standard Backward Difference Approximation Of y′(x)y ^ { \prime } ( x )y′(x)

The Standard Backward Difference Approximation Of $y ^ { \prime } ( x )$