UGRD-MATH6103 Calculus 2
1. Home
2. My courses
3. UGRD-MATH6103-2026S
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
Correct
Mark 1.00 out of 1.00
Flag question
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
Feedback
Your answer is correct.
Question 2
Correct
Mark 1.00 out of 1.00
Flag question
Question text
Compute limx→0x3−7xx3limx→0x3−7xx3
Select one:
a.
−∞−∞
b.
+∞+∞
c.
∞∞
d.
no correct answer
Feedback
Your answer is correct.
Question 3
Correct
Mark 1.00 out of 1.00
Flag question
Question text
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
Feedback
Your answer is correct.
Question 4
Correct
Mark 1.00 out of 1.00
Flag question
Question text
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
Feedback
Your answer is correct.
Question 5
Correct
Mark 1.00 out of 1.00
, Flag question
Question text
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
Feedback
Your answer is correct.
Question 6
Correct
Mark 1.00 out of 1.00
Flag question
Question text
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
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller Wiseman. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $18.49. You're not tied to anything after your purchase.
