Calculus Jeopardy

Continuity

100

For f(x) = 1/x, x = 0 is an example of what type of discontinuity?

Infinite discontinuity

200

What type of discontinuity is there at x = 0 for f(x) = sin(x)/x?

Oscillating discontinuity

Limits

100

The limit of sin(x)/x as x approaches 0 is equal to...

1

Intro to Derivatives

100

For y = -2x³ + x, what is the derivative evaluated at x = 1?

-5

Derivatives of Inverse Functions

100

The derivative of e^ax is...

ae^ax

200

If f(x) = a^sin(x), then what is the exact value of f'(

-ln(a)

???? (Random)

100

The smallest prime number between 1 and 50 is

2

200

This mathematician helped develop Game Theory and, after a mental breakdown, proclaimed himself to be the emperor of Antarctica.

John Nash