MA121C1 Test 2 Spring 2026
Student Name ____________________________
Student BU ID _____________________________
Academic Conduct: If you have never read the CAS Academic Conduct Code, you should do so! I am available for
assistance, should you need any.
• This is a closed book and closed notes exam.
• Calculators and other electronic devices are NOT allowed.
• Sharing midterm related information/collaboration with others is NOT allowed.
• Anyone violating this will be reported to the Dean’s Office without fail. Penalties for violating the Academic
Conduct Code may include suspension or expulsion from the University.
Please sign your name below to acknowledge that you have read and understood the information above.
Signature ___________________________________________
Please do not write below this line.
___________________________________________________________________________________
Problem Points Possible Points Earned
1 30
2 8
3 16
4 16
5 16
6 14
, MA121C1 Test 2 Spring 2026
Q1 (30 points) Multiple Choice: Circle one correct answer. Find the following derivatives.
Q1.1 Find 𝑓 ! (𝑥) for 𝑓(𝑥) = 4𝑥 " − 𝑒 #
A. 𝑓 ! (𝑥) = 5𝑥 $
B. 𝑓 ! (𝑥) = 20𝑥 $ − 2𝑒
C. 𝑓 ! (𝑥) = 20𝑥 $
D. 𝑓 ! (𝑥) = 20𝑥 $ − 𝑒 #
Q1.2 Find 𝑓 ! (𝑥) for 𝑓(𝑥) = 𝑙𝑛𝑥 + 𝑒 %
&
A. 𝑓 ! (𝑥) = % + 𝑒 %
&
B. 𝑓 ! (𝑥) = % + 𝑥𝑒 %'&
C. 𝑓 ! (𝑥) = 𝑙𝑛𝑥 + 𝑒 %
D. 𝑓 ! (𝑥) = 𝑙𝑛𝑥 + 𝑥𝑒 %'&
&
Q1.3 Find 𝑓 ! (𝑥) for 𝑓(𝑥) = √𝑥 −
√%
& %√%
A. 𝑓 ! (𝑥) = #√% + #
# %√%
B. 𝑓 ! (𝑥) = −
√% #
& &
C. 𝑓 ! (𝑥) = #√% − #%√%
& &
D. 𝑓 ! (𝑥) = +
#√% #%√%
Q1.4 Find 𝑓 ! (𝑥) for 𝑓(𝑥) = 𝑙𝑛𝑥 ) + 𝑙𝑛2)
& &
A. 𝑓 ! (𝑥) = % ! + #!
&
B. 𝑓 ! (𝑥) = % !
) )
C. 𝑓 ! (𝑥) = % + #
)
D. 𝑓 ! (𝑥) =
%
Q1.5 Find 𝑓 ! (𝑥) for 𝑓(𝑥) = 𝑥 * + 𝑒 $
A. 𝑓 ! (𝑥) = 𝑒𝑥 *'& + 4𝑒 +
B. 𝑓 ! (𝑥) = 𝑒𝑥 *'& + 𝑒 $
C. 𝑓 ! (𝑥) = 𝑒𝑥 *'&
D. 𝑓 ! (𝑥) = 𝑥 * + 𝑒 $
Student Name ____________________________
Student BU ID _____________________________
Academic Conduct: If you have never read the CAS Academic Conduct Code, you should do so! I am available for
assistance, should you need any.
• This is a closed book and closed notes exam.
• Calculators and other electronic devices are NOT allowed.
• Sharing midterm related information/collaboration with others is NOT allowed.
• Anyone violating this will be reported to the Dean’s Office without fail. Penalties for violating the Academic
Conduct Code may include suspension or expulsion from the University.
Please sign your name below to acknowledge that you have read and understood the information above.
Signature ___________________________________________
Please do not write below this line.
___________________________________________________________________________________
Problem Points Possible Points Earned
1 30
2 8
3 16
4 16
5 16
6 14
, MA121C1 Test 2 Spring 2026
Q1 (30 points) Multiple Choice: Circle one correct answer. Find the following derivatives.
Q1.1 Find 𝑓 ! (𝑥) for 𝑓(𝑥) = 4𝑥 " − 𝑒 #
A. 𝑓 ! (𝑥) = 5𝑥 $
B. 𝑓 ! (𝑥) = 20𝑥 $ − 2𝑒
C. 𝑓 ! (𝑥) = 20𝑥 $
D. 𝑓 ! (𝑥) = 20𝑥 $ − 𝑒 #
Q1.2 Find 𝑓 ! (𝑥) for 𝑓(𝑥) = 𝑙𝑛𝑥 + 𝑒 %
&
A. 𝑓 ! (𝑥) = % + 𝑒 %
&
B. 𝑓 ! (𝑥) = % + 𝑥𝑒 %'&
C. 𝑓 ! (𝑥) = 𝑙𝑛𝑥 + 𝑒 %
D. 𝑓 ! (𝑥) = 𝑙𝑛𝑥 + 𝑥𝑒 %'&
&
Q1.3 Find 𝑓 ! (𝑥) for 𝑓(𝑥) = √𝑥 −
√%
& %√%
A. 𝑓 ! (𝑥) = #√% + #
# %√%
B. 𝑓 ! (𝑥) = −
√% #
& &
C. 𝑓 ! (𝑥) = #√% − #%√%
& &
D. 𝑓 ! (𝑥) = +
#√% #%√%
Q1.4 Find 𝑓 ! (𝑥) for 𝑓(𝑥) = 𝑙𝑛𝑥 ) + 𝑙𝑛2)
& &
A. 𝑓 ! (𝑥) = % ! + #!
&
B. 𝑓 ! (𝑥) = % !
) )
C. 𝑓 ! (𝑥) = % + #
)
D. 𝑓 ! (𝑥) =
%
Q1.5 Find 𝑓 ! (𝑥) for 𝑓(𝑥) = 𝑥 * + 𝑒 $
A. 𝑓 ! (𝑥) = 𝑒𝑥 *'& + 4𝑒 +
B. 𝑓 ! (𝑥) = 𝑒𝑥 *'& + 𝑒 $
C. 𝑓 ! (𝑥) = 𝑒𝑥 *'&
D. 𝑓 ! (𝑥) = 𝑥 * + 𝑒 $