AP Calculus AB Jeopardy Game

Derivatives

100

d/dx of e^x

What is e^x

200

d/dx of cosx 

What is -sinx

300

d/dx of 10^x

What is 10^x x ln(10)

400

d/dx of log₇x 

What is 1/xln(7) 

500

d/dx of sec^-1x

What is 1/(|x|(x²-1)^1/2)

Integrals

100

Integral of cosxdx

What is sinx+c

200

Integral of sec²xdx

What is tanx+c

300

Integral of cscxcotxdx

What is -cscx+c

400

Integral of cscx

What is -ln|cscx+tanx|+c

500

Integral of 1/(9x²+16)

What is (1/4)tan^-1(3x/4) +c 

Equations

100

MVT

What is f^'(c) (f(b)-f(a))/(b-a)

200

Limit definition of derivative

What is lim_x->h(f(x+h)-f(x))/h

300

Average value of f(x) on the interval (a,b)

What is 1/(b-a) x integral from a to b of f(x)dx

400

Area between two curves with lower f(x), upper g(x), on the interval (a,b)

What is integral from a to b of g(x)-f(x)dx

500

Cross section Vol. Semicircle lower f(x), g(x), on the interval (a,b)

What is (pi/2) x integral from a to b of ((g(x)-f(x))/2)²dx

Calculator Tricks

100

Derivative on calculator 

What is Math 8

200

Integral on calculator 

What is Math 9

300

How to plug in a fraction 

What is Alpha -> y= -> 1 

400

How to plug in your y₁

What is Vars -> y-vars -> 1 -> 1 

500

How to find intersections between equations on a graph

What is 2^nd -> trace -> 5 -> first curve point close to intersection -> second curve point close to intersection 

Limits

100

lim_x->0((x²-x)/3)

What is 0

200

lim_theta->0sin(theta)/theta

What is 1

300

lim_theta->(1-cos(theta))/theta

What is 0

400

lim_x->0((x+1)^1/2-1)/x

What is 1/2

500

Daily Double! 

lim_x->1(x-1)/((2x-1)^1/2-1)

What is 1