Suppose the first derivative of a twice-differentiable function attains a local minimum at
MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions
Problem
Suppose the first derivative q′(x) of a twice-differentiable function q attains a local minimum at x=7. What is the value of q′′(7)? Briefly justify your answer in one sentence.