UGRD-MATH6103 Calculus 2
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4. Week 7- 8: The Derivatives 1 & 2
5. Midterm Exam
Started on Wednesday, 28 April 2021, 11:06 AM
State Finished
Completed on Wednesday, 28 April 2021, 12:57 PM
Time taken 1 hour 51 mins
Marks 45.17/50.00
Grade 90.33 out of 100.00
Question 1
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Question text
Continuity of functions of one variable
Select one:
a.
f is continuous for all values of x.
b.
f is continuous at both x = 3 and x = -3
c.
f is continuous at x = 3, but it is not continuous at x = -3
, d.
f is not continuous at x = 3, but it is continuous at x = -3
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Question 2
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Compute limx→0x3−7xx3limx→0x3−7xx3
Select one:
a.
−∞−∞
b.
+∞+∞
c.
∞∞
d.
no correct answer
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Question 3
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Answer the following questions. Simplify your answers if necessary.
Differentiate y=5x2+sinxcosxy=5x2+sinxcosx.
Select one:
, a.
y′=10x+cos2x−sin2xy′=10x+cos2x−sin2x
b.
y′=10x−cos2x−sin2xy′=10x−cos2x−sin2x
c.
y′=10x+cos2x+sin2xy′=10x+cos2x+sin2x
d.
y′=−10x+cos2x−sin2xy′=−10x+cos2x−sin2x
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Question 4
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Functions as X approaches plus or minus infinity.
Compute limx→∞x5−x2−10limx→∞x5−x2−10.
Select one:
a.
0
b.
1
c.
does not exist
d.
-1
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Question 5
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Answer the following questions. Simplify your answers if necessary.
Differentiate y=sin2xcos2xy=sin2xcos2x.
Select one:
a.
y′=2sec2x−tanxy′=2sec2x−tanx
b.
y′=−2sec2xtanxy′=−2sec2xtanx
c.
y′=−2sec2x−tanxy′=−2sec2x−tanx
d.
y′=2sec2xtanxy′=2sec2xtanx
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Question 6
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Find the derivative of y=5.4xy=5.4x.
Fill in the missing numbers to get the correct answer.
Answer:
4
y' = 5ln (Answer
)4x
Question 7
Correct
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