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

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Presentation transcript:

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 You have selected an area of the board not in play.

Basic Derivative Rules - $100 ANSWER The Power Rule is…

Basic Derivative Rules - $200 ANSWER The Constant Multiple Rule is…

Basic Derivative Rules - $300 ANSWER The Sine and Cosine Rules are…

Basic Derivative Rules - $400 ANSWER The Product Rule is…

Basic Derivative Rules - $500 ANSWER The Quotient Rule is…

Equation of the Tangent Line - $100 ANSWER Write the equation of the line tangent to f(x) = 2x² and through the point (1, -2)

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)

Equation of the Tangent Line - $300 ANSWER What is the equation of the line tangent to f(x) = sin x + 3 when x = 0?

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)

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)

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.

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.

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?

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?

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?

Easy Derivative Rules - $100 ANSWER f(x) = 3π

Easy Derivative Rules - $200 ANSWER

Easy Derivative Rules - $300 ANSWER

Easy Derivative Rules - $400 ANSWER

Easy Derivative Rules - $500 ANSWER

Product & Quotient Rules - $100 ANSWER f(x) = (5x + 7)(2x – 1)

Product & Quotient Rules - $200 ANSWER

Product & Quotient Rules - $300 ANSWER f(x) = 2x cos x

Product & Quotient Rules - $400 ANSWER f(x) = 3x(6x – 5x²)

Product & Quotient Rules - $500 ANSWER

****Answers****

Basic Derivative Rules - $100 DONE

Basic Derivative Rules - $200 DONE

Basic Derivative Rules - $300 DONE

Basic Derivative Rules - $400 DONE

Basic Derivative Rules - $500 DONE

Equation of the Tangent Line - $100 DONE Y = 4x - 6

Equation of the Tangent Line - $200 DONE Y = x

Equation of the Tangent Line - $300 DONE Y = x + 3

Equation of the Tangent Line - $400 DONE Y = x -1349

Equation of the Tangent Line - $500 DONE Y = 0.75x +4.25

Position and Velocity - $100 DONE s(t) = -16t² + 98t + 215

Position and Velocity - $200 DONE v(t) = -32t + 98

Position and Velocity - $300 DONE seconds

Position and Velocity - $400 DONE 34 ft/sec

Position and Velocity - $500 DONE ft/sec

Easy Derivative Rules - $100 DONE 0

Easy Derivative Rules - $200 DONE

Easy Derivative Rules - $300 DONE 8t/5

Easy Derivative Rules - $400 DONE

Easy Derivative Rules - $500 DONE -1/(3x^(5/3))

Product & Quotient Rules - $100 DONE 20x + 9

Product & Quotient Rules - $200 DONE

Product & Quotient Rules - $300 DONE -2x sin x + 2 cos x

Product & Quotient Rules - $400 DONE 36x – 45x²

Product & Quotient Rules - $500 DONE

CONTINUE

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.