Question 1
10 out of 10 points
Suppose the function
a) Use the definition of the derivative to show that f ' (-2) = -1.b) Write an equation for
the line tangent to the graph of f at x = -2.
Selected
[None Given]
Answer:
Correct Answer:
Answer for Part a)
Review Test Submission: S1 - 1.02 Limits and
Their Properties Quiz 1
Content
User
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AP Calculus AB
S1 - 1.02 Limits and Their
Properties Quiz 1
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20 out of 20 points
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Instruction
s
Questi
Question 1
2 out of 2 points
Evaluate
Selected
Answer:
Correct
Answer:
Response
Feedback:
1/1
2
1/1
2
Use the definition of the numerical derivative
where
and a = 8. From the Power Rule,
,so f (8) = 1/12
Question 2
2 out of 2 points
Which of the followin
Question 1
2 out of 2 points
Suppose the function d(t) is differentiable for all real numbers. Which of the following
statements proves there is a relative maximum at t = 3?
Selected
Answer:
Correct
Answer:
Response
Feedback:
d ' > 0 when t < 3 and d ' <
Review Test Submission: S1 - 1.04 Limits and
Their Properties Exam FR
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Status
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Comment you're on the right track - please look over this and let me know if you have
s
any questions - please be more thorough in your responses - I like how
y
Question 1
2 out of 2 points
Find the critical point(s) of the function f (x) = 5 - |3 - 4x|.
Selected
Answer:
Correct
Answer:
Response
Feedback:
x=
0.75
x=
0.75
From the graph, f (x) is undefined when x = 0.75 since
there is a corner, making x = 0.75 a
Review Test Submission: S1 - 1.04 Limits and
Their Properties Exam MC
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38 out of 40
points
35 minutes
Question 1
2 out of 2 points
Which of the following best describes
Selected
Answer:
Corr
Question 1
2 out of 2 points
Find
if y = sin(x + y).
Selected
Answer:
Correct
Answer:
Response
Feedback:
Use implicit differentiation with the Chain Rule:
Distribute the cosine expression into (1 + y'), then solve for y'.
.
Question 2
2 out of 2 points
A
Question 1
2 out of 2 points
What is the derivative of
?
Selected
Answer:
Correct
Answer:
Response
Feedback:
Use the Quotient
Rule:
Question 2
2 out of 2 points
Find f () if f () = sin() cos().
Selected
Answer:
Correct
Answer:
Response
Feedback:
cos 2()
Question 1
2 out of 2 points
What is the slope of the tangent line to the graph of f (x) = x 2 - 5x + 2 at the point (3,
-4)?
Selected
Answer:
1
Correct
Answer:
1
Response
Feedback:
The slope of the tangent line is the numerical derivative
of f (x) at th