Calculus I Jeopardy
Created Fall 2002
By Anne Dudley
Glendale Community College
Modified Spring 2013 by Michael
Holtfrerich
Calculus Jeopardy
FINAL
LIMITS
DERIVATIVES
APPL. OF
DERIVATIVES
INTEGRATION
ALGEBRA
MISC.
$100
$100
$100
$100
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$100
$200
$200
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$200
$200
$200
$300
$300
$300
$300
$300
$300
$400
$400
$400
$400
$400
$400
Limits $100
What is
sin x
lim
x0 x
ANSWER
Limits $200
What is
ln x
lim 2
x x
ANSWER
Limits $300
What is
3
2
3x  4 x  7
lim
x 5x 2  6x 3
ANSWER
Limits $400
What is
lim (1 x)
1
x
x0
ANSWER
Derivatives $100
What is the derivative of
y  cot(3x)
Simplify your answer.
ANSWER
Derivatives $200
What is the derivative of
2
y  9x  4
Simplify your answer.
ANSWER
Derivatives $300
What is the derivative of
y  x  x ln x
Simplify your answer.
ANSWER
Derivatives $400
What is the derivative of
2
y  2xy  5
Simplify your answer.
ANSWER
Applications $100
For a function to have a minimum or a
maximum, what has to happen to the
derivative?
ANSWER
Applications $200
What is a place on a curve called where
concavity switches?
ANSWER
Applications $300
What is the maximum area that can be
enclosed with 100 feet of fencing, given
the region below?
ANSWER
Applications $400
List three words that you might find in
an application problem that would
signal you to take the derivative.
ANSWER
Integration $100
What integral will measure the area
shown below?
y = f(x)
2
5
ANSWER
Integration $200
Evaluate
sin(3
x
)
dx

ANSWER
Integration $300
Find and simplify:
d
dx
4x

tdt
5
ANSWER
Integration $400
Evaluate.
ln x
dx
 x
ANSWER
Algebra $100
Simplify completely:
2
36x 18
ANSWER
Algebra $200
Simplify completely:
2x
3
3
2
2
ANSWER
Algebra $300
Simplify completely:
2 x  8x  x
x3
5
4
2
ANSWER
Algebra $400
Factor completely:
3
1
x (2x  3)
2
1
2
 (2x  3) (3x )
2
ANSWER
MISC $100
Complete the square?
2 x  12 x  7
2
ANSWER
MISC $200
Evaluate:
1
cos(sin (1/ 2))
ANSWER
MISC $300
Which is a better way to approximate
an area, Trapezoid or Simpson’s Rule?
ANSWER
MISC $400
How many different families of
integrals have we learned this
semester?
ANSWER
Limits $100
Answer
sin x
lim
1
x0 x
Back to
Jeopardy
Limits $200
Answer
ln x
lim 2  0
x x
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Jeopardy
Limits $300
Answer
3
2
3x  4 x  7 1
lim

2
x 5x 2  6x 3
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Jeopardy
Limits $400
Answer
1
x
lim (1 x)  e
x0
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Jeopardy
Derivatives $100
Answer
The derivative is
2
y 3csc (3x)
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Jeopardy
Derivatives $200
Answer
The derivative is
9x
2
9x  4
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Jeopardy
Derivatives $300
Answer
The derivative is
ln( x)
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Jeopardy
Derivatives $400
Answer
The derivative is
y
y 
yx
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Jeopardy
Applications $100
Answer
The derivative must equal ZERO or
possibly undefined.
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Jeopardy
Applications $200
Answer
A place on the curve where concavity
switched is called an INFLECTION
POINT.
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Jeopardy
Applications $300
Answer
Area is 1250/3 square feet.
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Jeopardy
Applications $400
Answer
Some possibilities are:
Minimize, Maximize, Optimize,
Velocity, Acceleration,
Rate of Change, Slope of Tangent line
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Jeopardy
Integration $100
Answer
5
f
(x)dx

2
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Jeopardy
Integration $200
Answer
 13 cos(3x)  C
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Jeopardy
Integration $300
Answer
8 x
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Jeopardy
Integration $400
Answer
ln x
1
2
dx

ln
x

C


 x
2
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Jeopardy
Algebra $100
Answer
2
2
36x 18  3 4x  2
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Jeopardy
Algebra $200
Answer
4
4
OR
3
3x x
3x 2
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Jeopardy
Algebra $300
Answer
4
3
2
2x  2x  6x 19x  57  171
x3
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Jeopardy
Algebra $400
Answer
x (7 x 9)
2 x 3
2
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Jeopardy
MISC $100
Answer
2( x  3)  25
2
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Jeopardy
MISC $200
Answer
3
cos(sin (1/ 2)) 
2
1
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Jeopardy
MISC $300
Answer
Simpson’s (a curve is better than
straight lines)
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Jeopardy
MISC $400
Answer
Five (power, exp, trig, ln, inverses)
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Jeopardy
Final Jeopardy Question
Evaluate:
2x  5
 x2  2 x  2 dx
Answer
Final Jeopardy Answer
1
ln x  2 x  2  7Tan ( x  1)  C
2
The End
Thank You for playing
Calculus Jeopardy!