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Tic-Tac-Toe Using the Graphing Calculator for Derivatives.

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Presentation on theme: "Tic-Tac-Toe Using the Graphing Calculator for Derivatives."— Presentation transcript:

1 Tic-Tac-Toe Using the Graphing Calculator for Derivatives

2 Rules Each Pair has a Tic-Tac-Toe Board One problem will be displayed. Each person will do the problem. First player to get correct answer on his/her calculator gets to mark the board. Goal: To win as many TIC-TAC- TOES as possible

3 Problem 1 Find f ’ (4) f (x) = 3x 2 + 4x - 2

4 Problem 2 Find f ’ (-1) f (x) = sin  x

5 Problem 3 Find f ’ (3) f (x) = |x – 3|

6 Problem 4 Find dy at x = 4 dx dx y = x 2 + 4x - 2

7 Problem 5 Find dy at x = 1 dx dx y =  3x – 2

8 Problem 6 Find dy at x = 7 dx dx y =  x – 4

9 Problem 7 Sketch the graph of the derivative of f (x) = x 3 + 4x 2 + 5

10 Problem 8 Find the equation of the tangent line for f (x) at x = 3 f (x) = 4x 3 + x 2 – 1

11 Problem 9 Find the equation of the tangent line for f (x) at x = -1 f (x) = x 4 + x 2 – 1

12 Problem 10 Find the equation of the tangent line for f (x) at x = 0 f (x) = x 2 + 5x – 1

13 Problem 11 Find the equation of the tangent line in point-slope form for f (x) at x = 5 f (x) = 4x 3 + x 2 – 1

14 Problem 12 Find the equation of the tangent line in point-slope form for f (x) at x = -3 f (x) = 2x 3 + x 2 + x

15 Problem 13 Find the equation of the tangent line in point-slope form for f (x) at x = 1 f (x) = 5x 2 – x – 1

16 Problem 14 Find the equation of the tangent line in point-slope form for f (x) at x = -2 f (x) = 4x 2 + x

17 Problem 15 Find the equation of the tangent line in point-slope form for f (x) at x =  f (x) = sin x + cos x


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