Calculus Jeopardy

Derivatives

100

Find the derivative of e^x

e^x

200

Find the derivative of 3x²+2x-5

6x+2

300

Find the derivative of (3-x²)(x+4)

-3x²-8x+3

400

Find the derivative of (3x)/(x+x²)

-3/1+x²

500

Find f'(x) when f(x)=-sin(4x²+5)

f'(x)=-8xcos(4x²+5)

Integrals

100

What is the general solution to the Integral of (x³-6x)dx

(x⁴ /4)-3x² +C

200

What is the integral from 0 to 3 of (-4x³ +3x² )dx

-54

300

What is the integral from 2 to 4 of (2x+3)dx

18

400

What is the integral from 1 to 3 of x/(4x² ). your answer will be unsimplified.

ln(3)/4

500

what is the definite integral from  π/2 to 2π of xcos(5x² )dx. Your answer will be unsimplified.

(sin(20 π² )-sin((5 π²)/4))/10

Limit Definitions

100

what is the lim as x-> 0 of the function 3x?

0

200

What is the limit as x -> 12 of the function 5x² +3

723

300

what is the lim as x -> 0 of the function 3x/x

3

400

what is the limit as x ->0 of the function (e^x -1)/(x² +x)

1

500

what is the limit as x-> 0 of the function (2sin(x)-sin(2x))/(x-sin(x))

6

Factoring/Foiling

100

Foil (5x+3)(2x-2)

10x² -4x-6

200

 Factor x² +5x+6

(x+2)(x+3)

300

Foil (3x-2y)(4x+5y)

12x² +7xy-10y²

400

Factor 12x⁴-22x²-20

2(3x²+2)(2x²-5)

500

Factor 6x² -13x-5

(3x+1)(2x-5)

Funny Stuff Mrs.Huff says

100

What is  Σ ?

a big giant sigma

200

What is Mrs. Huffs favorite F-word?

Factor!

300

When something is added to infinity it________ and stays infinite. (fill in the blank)

SCHLOOP

400

What does Mrs. Huff say when you get something wrong in the summation lesson?

"What the sigma"

500

What does Mrs. Huff do when after two years we still don't know the unit circle? (act it out)

*stand at the front of the class and give a huge sigh and slump your shoulders as you walk to the other board and draw a perfect circle*