The table shows whether the tangent-line approximation at each listed -value…
MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
The table shows whether the tangent-line approximation at each listed x-value overestimates (O) or underestimates (U) the value of a twice-differentiable function r at nearby points.
x 0 1 2 3
Error type U U O O
Based on the information in the table, identify an open interval where r′′(x) must change sign and state the reason for your choice.