Answers to Chapter 2 True/False
Correct.
Incorrect. Instantaneous velocity is the slope of a tangent line; average velocity is slope of a
secant line.
Incorrect. The difference quotient program can only give an estimate of the derivative at a.
Correct.
Correct. Note that the sign of a velocity indicates its direction.
Incorrect. Note that the limit should be sending h to 0, not sending x to a for the difference
quotient shown.
y
would represent the slope of a
x  0  x
Incorrect. This represents the slope of a secant line. lim
tangent.
Incorrect. The horizontal distance between x = A and x = A + h would be labeled h.