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

Transcript of 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