The following is a polygonal path obtained from Euler's method with n = 4 to approximate a solution f(t) of a differential equation. Indicate whether the following statements are true or false:
-$f ^ { \prime }$ $\left( \frac { 1 } { 2 } \right)$ ≈ 1

Question

The following is a polygonal path obtained from Euler's method with n = 4 to approximate a solution f(t) of a differential equation. Indicate whether the following statements are true or false: 
-$f ^ { \prime }$ $\left( \frac { 1 } { 2 } \right)$ ≈ 1

Quizplus · Accepted Answer

The given statement is true because the derivative of the function f(x) = 1/x is -1/x^2, and f'(1/2) = -1/(1/2)^2 = -4.

The Following Is a Polygonal Path Obtained from Euler's Method f′f ^ { \prime }f′

The Following Is a Polygonal Path Obtained from Euler's Method $f ^ { \prime }$