Please get out several sheets of paper and something to write with
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Please get out several sheets of paper and something to write with
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DERIVATIVE
Jeopardy
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$200 $200 $200 $200 $200
$400 $400 $400 $400 $400
$600 $600 $600 $600 $600
$800 $800 $800 $800 $800
$1000 $1000 $1000 $1000 $1000
Power RuleSine and Cosine
Exponentials LogarithmsSecond
Derivatives
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Col 1-1
f(x) = x2 + 2x + 1
Answer Grid
What is 2x + 2?
$200
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Col 1-2Answer Grid
What is 12x2 – 4x + 1?
$400
f(x) = 4x3 - 2x2 + x
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Col 1-3Answer Grid
What is 2x-1/2?
$600
f(x) = 4x1/2
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Col 1-4Answer Grid
What is -4x-3?
$800
f(x) = 2/x2
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Col 1-5Answer Grid
$1000
What is 1/2x-1/2 + x-2?
f(x) = √x - 1/x
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Col 2-1Answer Grid
What is 2 cos (2x)?
$200
f(x) = sin (2x)
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Col 2-2Answer Grid
What is -2x sin (x2)?
$400
f(x) = cos (x2)
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Col 2-3Answer Grid
What is -6x sin (3x2)?
$600
f(x) = cos (3x2)
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Col 2-4Answer Grid
$800
What is
-2 (2x – 2) cos (x2 – 2x) sin (x2 – 2x)?
f(x) = cos2 (x2 – 2x)
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Col 2-5Answer Grid
What is cos (sin x) cos x?
$1000
f(x) = sin (sin x)
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Col 3-1Answer Grid
What is 0?
$200
f(x) = e
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Col 3-2Answer Grid
What is 4e4x?
$400
f(x) = e4x
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Col 3-3Answer Grid
What is 3(23x ln 2)?
$600
f(x) = 23x
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Col 3-4Answer Grid
What is (2x – 2) e(x – 2x)?
$800
f(x) = e(x – 2x)2
2
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Col 3-5Answer Grid
What is e sin x cos x?
$1000
f(x) = e sin x
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Col 4-1Answer Grid
What is 1/x?
$200
f(x) = ln (2x)
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Col 4-2Answer Grid
What is 2/x?
$400
f(x) = ln (x2)
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Col 4-3Answer Grid
What is 2/(2x + 1)?
$600
f(x) = ln (2x + 1)
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Col 4-4
f(x) = ln (sin x)
Answer Grid
$800
What is cot x or cos x/sin x?
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Col 4-5
f(x) = ln (x3ex)
Answer Grid
$1000
What is 3/x + 1?
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Col 5-1Answer Grid
What is 12?
$200
Find the second derivative:
f(x) = 6x2 – 5x + 17
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Col 5-2
The degree of the function
f(x) = (x – 1)(x – 2)2(x – 3)3.
Answer Grid
What is 4e2x?
$400
Find the second derivative:
f(x) = e2x
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Col 5-3Answer Grid
What is –sin x?
$600
Find the second derivative:
f(x) = sin x
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Col 5-4Answer Grid
What is -x-2?
$800
Find the second derivative:
f(x) = ln x
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Col 5-5Answer Grid
What is 36x2 + cos x + ex?
$1000
Find the second derivative:
f(x) = 3x4 – cos x + ex
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x
y
back
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x
y
back
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x
y
back
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x
y
back
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x
y
back
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x
y
back
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Final jeopardy
Make your wagers…
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Final jeopardyFind the derivative of:
f(x) = 4/(x2 – sin x)
What is -4(x2 – sin x)-2(2x – cos x)?
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x
y
end
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-2 {x: -4 x < 7} {x: x ≠ 4} 1{x: x -2 or
x 5}
y = -2/3x – 4 -2, 0 -6, 2 undefined x-axis
symmetry
x = 3 (3, -4) 4, -4So I Married
an Axe Murderer
y = -2x + 2Doesn’t pass vertical line
testodd (b)
(-4, 0) and (5, 0)
y = -4/3x – 7(-, 0) and
(3, +){x: x 3 and
x ≠ 5}16
LinesGraph
AnalysisAlgebra Functions Review
( )f x x
23 4z qz
ANSWER key