Derivatives Jeopardy

Basic Derivatives

100

x³

3x²

200

x-7

1

300

2x²-5x+1

4x-5

400

13x³-5x²+10x-3

39x²-10x+10

500

2x⁴+3x³+5x²+11x-12

8x³+9x²+10x+11

Product Rule

100

y=-x³(3x⁴-2)

= −21x⁶ + 6x²

200

y = (−2x⁴ − 3)(−2x² + 1)

24x⁵− 8x³ + 12x

300

 y = (−2x⁴ + 5x² + 4)(−3x² + 2)

36x⁵ − 76x³ − 4x

400

y = (5x⁴ − 3x² − 1)(−5x² + 3)

−150x⁵ + 120x³ − 8x

500

y=(x⁴+ 3)(−4x⁵+ 5⁴ + 5)

−36x⁸+ 40x⁷− 60x⁴ + 80x³

Quotient Rule

100

2

_______

2x⁴-5

− 16x³ 

___________________

4x⁸ − 20x⁴+ 25

200

5 

_______

4x³ + 4

    15x ²

_________

4x⁶ + 8x³ + 4

300

3x⁴+2

_________

3x³-2

9x⁶ − 24x³ − 18x²

_______________

9x⁶ − 12x³ + 4

400

4x⁵ + 2x²

___________

3x⁴+5

12x⁸ − 12x⁵+ 100x⁴ + 20x 

___________________________

9x⁸ + 30x⁴ + 25

500

4x⁵ + x² + 4

_____________

5x²-2

60x⁶ − 40x⁴ − 44x

_________________

25x⁴ − 20x² + 4  

Chain Rule

100

y=(5x-8)⁴

20(5x-8)³

200

y=(x³+3)⁵

15x²(x³+3)⁴

300

y=(-3x⁵+1)³

-45x⁴(-3x⁵+1)²

400

y=(3x³-2x²)³

(27x²-12x)(3x³-2x²)²

500

y=(6x²+7x)⁴

(48x+28)(6x²+7x)³

*~*rAnDoM*~*

100

This body part serves no biological purpose.

What are earlobes?

200

This animal is thirty times more likely to get hit by lightening than a human.

What is a giraffe?

300

This mammal can hold its breath longer than a dolphin. 

What is a sloth

400

This was almost Buzz Lightyear's name. 

What is Lunar Larry?

500

This aquatic animal cannot actually swim. 

What is a hippopotamus?