2 5 4 6 3 7 1 8 9 3 9 6 1 8 5 7 4 2 8 4 2 9 5 3 6 8 6 5 7 4 1 2 9 3 9 2 1 5 6 3 4 7 8...
TRANSCRIPT
7 1 19 2 (x-2) 10x(x2 +1) 4 -(2 +2x3 )
21 • 23 10 3x2 - 8x -3 2x (3x2 ) 8x + 12
15 8 _
24 2x+x -2 -4x 4x
Tx 2 =117 (x 2 +1) 2
4 16 5 3x2 - 6x 2x( 1 -x2 ) -2 -19
(3x - 2) 2
11 2x - 2x -3
17 6x3 + 5x
12 5x4 - 2x
9 15(x2 -x4 )
22 ( x + 1) -2
6 - 8x3 + 16x
13 2 - 6x 2
1-37277-1-1 2
20 12x -7
2 14 18 ' 3
12x + 13 1 _x 2• 2X + 1 2 ( x + l/x) 1 ° (x 2 +1) 2 -i2x +1
DIRECTIONS: Find the derivative of any functions given below. Locate the derivative on the BINGO board above, circle the answer, and write the problem number in the square. Keep working problems, in any order, until you have 5 circled answers in a line - horizontally, vertically, or diagonally. Then, shout BINGO!
3 4 1. y = (x2 + 1)5 9. y = 5x3 - 3x5 17. y =
x +5x2
2
2. y = (3x - 1) (2x + 5) 10. y = (2x + 3)2 18. y=x2 +x+7
3. y = V2x +1 11. y=(x+x x 4 + 4x-1 ) 2 19. y - - 2
4. y = x 3 - 3x2 + 2 12. y = x2 ( x3 - 1) 20. y = 6x2 - 7x
2x _-5. y= 2x + 5 13- y - 3x 2 +1 21. y = x3 - 4x2
- 3x 3x - 2
2 -1 6. y = (2x2 + 2) (x2 + 3) 14.y= X 22. y = x+1 x+1
2 x 3 - 1 3X 3 + 7 7. y = (x - 2) . 15. y = 23. y = x 2
x 2 +1 1
16. y= 24. y = - 2 8. y = 2 x -1 1 - x 2 X 2 +1
Clue 8:
Clue 9:
4x 2 — ex + 71" lim x--400 X
2 +ir e
3 (x + h)- 3x lim
Clue 10: 3!
Clue 11: The number of critical values for f (x) = sin(x) on the interval [0,97r1
Calculus Sudoku
d , - 0 x Clue 1 x o if dx tan 2 (-7r ) sec(-)
3 3 X # 0
ln
2
e 1 c---1--(3x -1) -d
(2x -9) 32_ 3 1 Clue 8
clx dx —3
, , Clue 2
5x+1 lim
x-409 x - 3
sin g 7 x Even '(1'
x 2 — 4 prime lim 91-9x2 16cos —7r
urn x-400 34 - x 2 3) x-42 x — 2
2 sin 2 0+ (_5)(2) lne6 (39-1
Clue 3 V343
2 cos 2 0 . ,
1 Clue 4 d Clue 9
64 2 dx (zr + 9x)
h if 2 taneil 4 Clue 5 Clue 10
3 2 + b 2 _ 5 2
lne9 3 E k sec 3 (10 3
Clue 6
k=1
CSC (i) X2 — 9 Clue 7 Clue 11
lim x-43 x - 3
Clue 1: lim 0+02 -4 2
h-->0
3(x+h)-2-3x+2 Clue 2: lim
h—>0
x 2 -2 2 Clue 3: lirn
x - 2 Clue 4: f (0) if f (x) , sin(2x)
Clue 5: The only critical value of f (x) = x 2 -10x
Clue 6: The x-value of the only point of inflection for f(X) if f " (x)= + 3)2 (x -7)
+ 2)2 Clue 7: The x-value of the vertical asymptote for y =
(x -1)
Created by Denise McCleary, Fairview High School, Boulder, CO ([email protected] ).
Solution for Calculus Sudoku
6 3 2 9 7 4 8 1 5
1 8 , . 7 3 5 2 9 6 4
5 4 9 8 1 6 3 2 7 ■
, _ \
4 7 3 2 9 8 6 5 1
9 2 1 5 6 3 4 7 8
8 6 5 7 4 1 2 9 3
,
7 1 8 4 2 9 5 3 6
3 9 6 1 8 5 7 4 2
2 5 4 6 3 7 1 8 9