Mathematics

Mathematics

Problem

A twice-differentiable function pp satisfies p(3)=10p(3)=10 and p′(3)=4p'(3)=4. A linear approximation at x=3x=3 is used to estimate p(3.05)p(3.05) and yields 10.2010.20, while the actual value is 10.2310.23. Determine the sign of p′′(3)p''(3) and state whether p′′(3)p''(3) is positive, negative, or zero.

Browse the problem library