Calculus Review Jeopardy

Limits

100

lim_(x→-1)⁡ (x²-1)/(x+1)

-2

200

lim as x approaches 3 of (x² + 9)/(x+3)

-6

300

lim_(x→-3)⁡ (x²+x-6)/(x²-9)

5/6

400

lim as x approaches 4 of (x²-7x+12)/(x-4)

1

500

lim _(x→−3) (x² - x - 12/x + 3)

-7

Derivatives

100

What is the derivative of y = 3x² ?

y' = 6x

200

Find the derivative of f(x) = 6x³ + x - 2

18x² + 1

300

f(x) = (3x - 2x²)(5 + 4x)

-24x² + 4x + 15

400

Find the derivative of y = (5x - 2)/(x² + 1)

(-5x² + 4x + 5)/(x² + 1)²

500

Find y' if y = (9x² + 4)^1/3

(6x)/(9x² + 4)^2/3

Integrals

100

ƒ 3 dx

3x + c

200

ƒ -24x⁵ - 10x dx

-4x⁶ - 5x² + c

300

ƒ -9x² + 10x dx

-3x³ + 5x² + c

400

ƒ(-2x^-3)dx

1/x² + c

500

ƒ -2x^-3 +20x^-5 dx

1/x² - 5/x⁴ + c

Vocab

100

What does the numeric value of a derivative tell you?

The slope of a tangent line

200

What is an antiderivative also called?

What is an integral

300

What is a limit? 

A location on a function that a specific x-value approaches

400

A function fails to be differentiable if it has a....

Discontinuity or a sharp cusp

500

Name three times when a limit does not exist.

1. f(x) approaches a different number from left and right side of c 

2. f(x) increases or decreases without bound 

3. f(x) oscillates between two fixed values

Misc.

100

Who is the prettiest and most gorgeous cat in the entire universe? 

Widow

200

Who is the chicken from Moana?

Hei Hei

300

Which live action Spiderman needs to work on his catching skills?

Andrew Garfield

400

Finish the lyric 

"Let it go, let it go, cant hold it back anymore, let it go, let it go, ________, I don't care what their going to say" 

turn away and slam the door

500

What is JD Ink's nickname?

The Illustrated Man