MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties
Problem
On a graphing calculator, a student evaluates nDeriv( g(x), x, 3 ) and the display shows −2.45. Which statement correctly interprets the value −2.45?
(a) It is the average rate of change of g on the interval [2,4].
(b) It is the slope of the tangent line to y=g(x) at x=3.
(c) It is the value of g(3).
(d) It is the x-coordinate of a point where g(x)=−2.45.