Tangents and Normals to Curves Test

Unit Test #11

Select your answers to the following 5 questions from the pop-up menus in the right hand column. Clicking the "Begin Test Again" button will clear all the answers.

 

 

Q1:

 

In the graph, what is f '(2)

 A. 0.5
B. 5
C. 0
D. 1

Answer 1:

 

 

Q2:

 

 In question 1, what is the equation of the tangent at x = 1? A. y = 2x
B. x = 2
C. y + 2x - 2 = 0
D. y = -2x - 2

Answer 2:

 

 

Q3:

 

 In question 1, what is the equation of the normal at x = 1? A. y = 2x
B. 2x = y - 2
C. 2y = -2x - 1 
D. 2y - x + 1 = 0

Answer 3:

 

 

Q4:

 

 For the equation y = x3, what is the equation of the tangent to the curve at x = 1? A. y = 3x - 2
B. x = -2
C. y = 3
D. y = 3x + 2

Answer 4:

 

 

Q5:

 

 At what point on the parabola y = 4 - x2 is the gradient 0? A. (0, 4)
B. (4, 0)
C. (-4, 0)
D. (0, -4)

Answer 5: