This is…

Chapter 3

Math Jeopardy

Trig

Derivatives

$300

$100

$500 $500

$400 $400

$300

$200

$300

$200

$100

$500

$400

$500

$400

$300

$200

$100

$500

$400

$300

$200

$100

$200 $200

$100

$300

$400

$500

Chain Rule Inverse Trig Implicit

Different.

Logs and

Exponents

ALL

MIXED UP

$100

Cat1Help

Text Object.

Math Type Object

Double Click to Edit

Cat2Help

Text Object.

Math Type Object

Double Click to Edit

Cat3Help

Text Object.

Math Type Object

Double Click to Edit

Cat4Help

Text Object.

Math Type Object

Double Click to Edit

Cat5Help

Text Object.

Math Type Object

Double Click to Edit

Cat6Help

Text Object.

Math Type Object

Double Click to Edit

$100

y=csc(3x)

Find y'.

Category 1 – 10 Point Answer

$100

y=csc(3x)

Find y'.' 3csc(3 )cot(3 )y x x

What is the derivative of

?

$200

5cos( ) sec(2 )y x x

$200

What is the

derivative of

5cos( ) sec(2 )y x x

' 5sin( ) 2sec(2 ) tan(2 )y x x x

A particle is at

for any time, t>0 seconds.

What is its velocity at

t = /2? (NO CALCULATOR)

$300 sin( )

( )t

s tt

$300

A particle is at

for any time, t>0

seconds. What is its

velocity at t = /2?

sin( )( )

ts t

t

2

4( )2

v

Simplify your answer. .

$400

2

cos(4 )

3

xy

x' ?y

$400

'y

2

cos(4 )

3

xy

x

3

4 sin(4 ) 2cos(4 )

3

x x x

x

If

find the equation of the normal

line to this curve at the point

x=

$500

tan(3 )y x

4

$500

If

find the equation of

the normal

line to this curve at

the point

x=

tan(3 )y x

4

11 ( )

6 4

1 ( 24)

6 24

y x

y x

$100

5(10 4)

' ?

y x

y

$100

5(10 4)

'

y x

y450(10 4)x

$200

3 29 4

' ?

y x

y

$200

'y 2 2/36 (9 4)x x

$300

3

'.

sin (4 )

Find

y

y t

$300

'y 212sin (4 )cos(4 )t t

$400

31 2

1

vy

v' ?y

$400

2

4

9(1 2 )

( 1)

v

v'y

Given the curve:

Find the

equation of the line

tangent at x = 1.

$500

5(4 3) ( 2)y x x

$500

Given the curve:

Find the equation

of the line tangent

to x = 1.

5(4 3) ( 2)y x x3 61( 1)

61 58

y x

y x

$100

1sin (5 )

' ?

y x

y

$100

1sin (5 )

'

y x

y

2

5

1 25x

$200

2(arctan )

' ?

y x

y

$200

2(arctan )

'

y x

y

1

2

2tan

1

x

x

Find the derivative of:

$300

1 1cot ( ) cot ( )5

xy x

$300

1 1cot ( ) cot ( )5

'

xy x

y2 2

5 1

25 1x x

Simplify as much as possible.

$400

2 11ln( 4) tan ( )

2 2

' ?

ty t

y

$400

2 11ln( 4) tan ( )

2 2

'

ty t

y

2

2 1

4

t

t

$500

12 1(csc )

' ?

y x x

y

$500

12 1(csc )y x x

11 csc'

1

xy

x x

Find

$100

2 24 4 25x ydy

dx

$100

2 24 4 25x y

dy

dx

x

y

when

$200

2 2

?

cos( ) 3

dy

dx

y x y

$200

2 2cos( ) 3y x y6

2 sin( )

dy x

dx y y

$300

2 3 1x xy y

dy

dx

$300

2

y 2x

3y x

2 3 1x xy y

dy

dx

Hint: Cross Multiply, then

Take the derivative

$400 2 2

2

45

3 4

?

x yy

y x

dy

dx

$400

2

8x 20y

2y 45y 20x

2 2

2

45

3 4

?

x yy

y x

dy

dx

When

Find the slope of the

Tangent line at x=1.

$500

4/5 6/55 10 15x y

So slope = -1/3

$500

When

Find the slope of

the tangent line at

x=1.

4/5 6/55 10 15x y

1/5

1/5

4

12

dy x

dx y

$100

ln(8 )

?

y x

dy

dx

$100

1

x

ln(8 )

?

y x

dy

dx

$200

2cos( )

?

xy e

dy

dx

$200

2x 2x2e s in(e )

2cos( )xy e

dy

dx

$300

2 (5 ) ln(2 1)

?

xy x e x

dy

dx

$300

2 (5 ) ln(2 1)xy x e x

dy

dx

2 (5 ) (5 ) 25 2

2 1

x xx e xex

Find the derivative.

$400

2

1

x

x

ey

e

$400

x

x 2

dy 3e

dx (e 1)

2

1

x

x

ey

e

Find

If

$500

'y

ln xy x

$500

ln xdy 2ln x(x )

dx x

ln xy x

$100

?

y e

dy

dx

0!! (it’s a constant)

$100

y e

dy

dx

$200

2

1

cos(5 3 )

?

yx x

dy

dx

$200

2

1

cos(5 3 )y

x x

dy

dx

2

2 2

sin(5 3 )(10 3)

cos (5 3 )

x x x

x x

$300

1sin (cos )

?

y x

dy

dx

$300

1sin (cos )

?

y x

dy

dx2

sin( )1!

1 cos ( )

x

x

$400

2 2tan( )

'(0) ?

xy x x e

y

$400

2 2tan( )

'(0) ?

xy x x e

y

2 2' 2 sec 2

'(0) 1

xy x x e

y

A particle is following the

Path of

Find its velocity at (3,1)

$500

2 310 4 3x y y

-3m/sec.

$500

A particle is

following the path of

Find its velocity at

(3,1)

2 310 4 3x y y

Final Jeopardy

Create Question

Here

Final Jeopardy

Answer

Final Jeopardy

Nice Try.

sn0065A Slot machines

J0074879 Space Laser

J0074877 Space Laser 2

Do Not Delete!

Contains objects for game.

J0097484 Large Explosion

Sound and other objects

J0074988 Space Door

Design Credits PowerPoint Slide Show created by

Randy Wyatt

Green Hope High School

Morrisville, NC

Adapted from Slide Show by Carol Nata

Revision History Version 4 – June 2003

• Changed points to dollars

• Added link to credits screen by clicking on “Math Jeopardy” on game board

• Changed problems and answers to generic place holders

• Minor color and sound changes on opening game screen

Version 5 – September 2003

• Removed macros and visual basic code

• Rearranged “back to problem” and “back to game board” buttons on answer pages

Testing Area

Help for Teachers To create a new set of categories and problems:

• Update topics on title screen (slide 2)

• Rename category headers on question board (slide 3)

• Change category help slides (immediately following question board)

• Modify questions and answers (answers immediately follow each question slide)

• Cut and Paste Daily Doubles

Tips:

• Questions and answers are MathType objects. It is easier if you keep it that way. Even

for text problems.

• To put copy of question on the answer slide, copy and paste the MathType object from

the question slide then resize.

• The EXIT graphic on the game board will exit WITHOUT saving anything. It is

intended for student use when playing.

• Make sure you test your game to make sure everything is linked and working correctly.

• When playing the intro screen of the game you can click in the lower right corner at

any time to skip the intro and go directly to the question board.

Do NOT:

• Change any hyperlinks Type <ctrl><home> to return to 1st slide