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Page 1: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100
Page 2: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Product and Quotient

Rules

Easy Derivative

Rules

Position and

Velocity

Equation of the Tangent

Line

Basic

Derivative

Rules

$500$500$500$500$500

$400$400$400$400$400

$300$300$300$300$300

$200$200$200$200$200

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Page 3: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Click here to go back to the main board

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Page 4: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Basic Derivative Rules - $100

ANSWER

The Power Rule is…

Page 5: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Basic Derivative Rules - $200

ANSWER

The Constant Multiple Rule is…

Page 6: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Basic Derivative Rules - $300

ANSWER

The Sine and Cosine Rules are…

Page 7: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Basic Derivative Rules - $400

ANSWER

The Product Rule is…

Page 8: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Basic Derivative Rules - $500

ANSWER

The Quotient Rule is…

Page 9: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Equation of the Tangent Line - $100

ANSWER

Write the equation of the line tangent to f(x) = 2x² and through the point (1, -2)

Page 10: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Equation of the Tangent Line - $200

ANSWER

Write the equation of the line tangent to f(x) = 3x³ - 4x + 3/(x²) through the point (-3, 4)

Page 11: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Equation of the Tangent Line - $300

ANSWER

What is the equation of the line tangent to f(x) = sin x + 3 when x = 0?

Page 12: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Equation of the Tangent Line - $400

ANSWER

Write the equation of the line through the point (4, -4) and tangent to y = (3x³ + 1)(√x)

Page 13: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Equation of the Tangent Line - $500

ANSWER

Write the equation of the line tangent to f(x) = x²/(x+1) at the point (1, 5)

Page 14: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Position and Velocity - $100

ANSWER

You shoot a firework shell into the air from the top of a building 215 feet tall and with an initial velocity of 98 feet/second. Write the position function for the situation.

Page 15: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Position and Velocity - $200

ANSWER

You shoot a firework shell into the air from the top of a building 215 feet tall and with an initial velocity of 98 feet/second. Write the velocity function for the situation.

Page 16: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Position and Velocity - $300

ANSWER

You shoot a firework shell into the air from the top of a building 215 feet tall and with an initial velocity of 98 feet/second. How long does it take the shell to hit the ground?

Page 17: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Position and Velocity - $400

ANSWER

You shoot a firework shell into the air from the top of a building 215 feet tall and with an initial velocity of 98 feet/second. What is the velocity of the shell after 2 seconds?

Page 18: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Position and Velocity - $500

ANSWER

You shoot a firework shell into the air from the top of a building 215 feet tall and with an initial velocity of 98 feet/second. What is the velocity of the shell when it impacts the ground?

Page 19: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Easy Derivative Rules - $100

ANSWER

f(x) = 3π

Page 20: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Easy Derivative Rules - $200

ANSWER

Page 21: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Easy Derivative Rules - $300

ANSWER

Page 22: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Easy Derivative Rules - $400

ANSWER

Page 23: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Easy Derivative Rules - $500

ANSWER

Page 24: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Product & Quotient Rules - $100

ANSWER

f(x) = (5x + 7)(2x – 1)

Page 25: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Product & Quotient Rules - $200

ANSWER

Page 26: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Product & Quotient Rules - $300

ANSWER

f(x) = 2x cos x

Page 27: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Product & Quotient Rules - $400

ANSWER

f(x) = 3x(6x – 5x²)

Page 28: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Product & Quotient Rules - $500

ANSWER

Page 29: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

****Answers****

Page 30: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Basic Derivative Rules - $100

DONE

Page 31: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Basic Derivative Rules - $200

DONE

Page 32: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Basic Derivative Rules - $300

DONE

Page 33: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Basic Derivative Rules - $400

DONE

Page 34: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Basic Derivative Rules - $500

DONE

Page 35: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Equation of the Tangent Line - $100

DONE

Y = 4x - 6

Page 36: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Equation of the Tangent Line - $200

DONE

Y = 77.222x + 235.667

Page 37: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Equation of the Tangent Line - $300

DONE

Y = x + 3

Page 38: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Equation of the Tangent Line - $400

DONE

Y = 336.25x -1349

Page 39: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Equation of the Tangent Line - $500

DONE

Y = 0.75x +4.25

Page 40: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Position and Velocity - $100

DONE

s(t) = -16t² + 98t + 215

Page 41: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Position and Velocity - $200

DONE

v(t) = -32t + 98

Page 42: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Position and Velocity - $300

DONE

7.839 seconds

Page 43: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Position and Velocity - $400

DONE

34 ft/sec

Page 44: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Position and Velocity - $500

DONE

-152.848 ft/sec

Page 45: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Easy Derivative Rules - $100

DONE

0

Page 46: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Easy Derivative Rules - $200

DONE

Page 47: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Easy Derivative Rules - $300

DONE

8t/5

Page 48: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Easy Derivative Rules - $400

DONE

Page 49: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Easy Derivative Rules - $500

DONE

-1/(3x^(5/3))

Page 50: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Product & Quotient Rules - $100

DONE

20x + 9

Page 51: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Product & Quotient Rules - $200

DONE

Page 52: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Product & Quotient Rules - $300

DONE

-2x sin x + 2 cos x

Page 53: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Product & Quotient Rules - $400

DONE

36x – 45x²

Page 54: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Product & Quotient Rules - $500

DONE

Page 55: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

CONTINUE

Page 56: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

CONTINUE

Page 57: Product and Quotient Rules Easy Derivative Rules Position and Velocity Equation of the Tangent Line Basic Derivative Rules $500 $400 $300 $200 $100

Directions for Changing the Game

• To change the questions and answers, just type over the problems…Use the “replace” feature to change the categories easily

• The daily doubles were originally set to category #4 for $500 and category #2 for $300

• To change the daily doubles you must– 1. Change the hyperlink for the links on the main board

to go to the appropriate question, therefore bypassing the daily double slide

– 2. Change the hyperlink on the continue button on each daily double slide to go to the new question.


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