top

Derivatives Practice Quiz

Practice Problems



Problem 1) Identify the tangent line and the secant line in the graph below

Answer
Secant ang tangent of parabola



Problem 2) Sketch the secant line between the point a and point b. On the same graph below sketch the tangent line at point a.

Answer
Secant ang tangent of parabola



Problem 3) 1) Find the average rate of change between the points (-1,6) and (5,3)

Answer




Problem 4) 1) Find the equation of the secant line between point a and point b in the graph below.

Answer
secant of curve

Problem 5)
  • A) Sketch the graph of $$y= (x-1)^2 +2 $$


Answer


Problem 7)Given function y = x3, and the point (-1,-1). Starting with the given point which x-value will produce a secant line with the greatest rate of change.
  • x =1
  • x = 0
  • x = -2
  • x = 2
Answer