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Exam (elaborations)

MA 121 Calc 1 Spring 2026 Exam Midterm

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MA 121 Calc 1 Spring 2026 Exam Midterm Questions Yellow Version

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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 $

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