Chain Rule Test

Unit Test #4

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:
 Which is the best rule to help differentiate a composite function? A. The Product Rule
B. The Quotient Rule
C. The Chain Rule
D. The Distributive Rule
Answer 1:

 
Q2:

Use the Chain Rule to differentiate the function

f(x) = (2x+3)11

 A. 20(2x + 3)10
B. 20(2x + 3)11
C. 22(2x + 3)10
D. 11(2x + 3)10
Answer 2:

 
Q3:
 Differentiate the function 2(3x - 2)3without expanding the brackets A. 6(3x - 2)2
B. 18(3x - 2)2
C. 2(3x - 2)2
D. 18(3x - 2)3
Answer 3:

 
Q4:
 Write √(3x - 2) in index form A. (3x - 2)2
B. (3x - 2) -2
C. (3x - 2) 0.5
D. (3x - 2) -0.5
Answer 4:

 
Q5:
 Differentiate √(3x + 2) A. 1.5 (3x + 2) -0.5
B. 0.5 (3x + 2) -0.5
C. 0.5 (3x + 2) -1.5
D. 1.5 (3x + 2) 1.5
Answer 5: