Three calculator-generated approximations of are listed below
MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties
Problem
Three calculator-generated approximations of g′(4) are listed below, each obtained with the same symmetric-difference formula but different interval widths h.
• h=0.1: 0.251
• h=0.01: 0.2501
• h=0.0001: 0.238
Identify which numerical value is most likely closest to the actual value of g′(4) and state that value.