The table shows values of a differentiable function near
MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties
Problem
The table shows values of a differentiable function r near x=5.
x 4.8 5.0 5.2
r(x) 10.1 10.8 11.9
Two students sketch tangent lines at x=5.
• Student A: slope =8
• Student B: slope =5
Based on the data, which student's slope is more consistent with the behavior of r near x=5?
(a) Student A only
(b) Neither student’s slope is consistent
(c) Student B only
(d) Both students’ slopes are equally consistent