Calculus Jeopardy

Derivatives

100

4x

What is 4

200

What is 13x⁶

What is 78x⁵

300

ln(x)

What is 1/x

400

tan(x)

What is sec²x

500

f(g(x))

What is f'(g(x))g'(x)

Antiderivatives

100

3x

What is (3x/2)²+C

200

sin(x)

What is -cos(x)+C

300

e^x

What is e^x+C

400

Velocity is the antiderivative of what?

What is acceleration

500

7x⁴+2x³

What is (7/5)x⁵+(x/2)⁴+C

Limits

100

lim_x->2 (x²+4x-12)/(x²-2x)

What is 4

200

lim_x->oo (-4x³)/(2x³)

What is -2

300

lim_x->oo (12x⁹+e^x)/(3x²)

What is does not exist

400

lim_x->oo (x³)/(x⁴)

What is 10/11

500

lim_x->5 (x²-25)/(x²+x-30)

What is 10/11

Graphs

100

Which graph increases the fastest

x¹²          e^x

ln(x)       cos(x)

What is e^x

200

When f'(x)<0, f(x) is what

What is decreasing

300

When f'(x) goes from + to - f(x) has what

What is a maximum

400

Point of inflection occurs when

What is concavity switches

500

To make a tangent line you need what

What is point and slope

Unit Circle

100

cos(0^o)

What is 1

200

sin(90^o)

What is 1

300

sin(3pi/2)

What is -1

400

sin(30^o)

What is 1/2

500

tan is

What is sin/cos