Calculus Jeopardy

Unit Circle

100

cos(x)= √3)/2

pi/6

200

sin(x)=√3)/2

pi/3

300

tan(x)=1

pi/4

400

sin(x)=-1/2

11pi/6

500

tan(x)=1/√3

7pi/6

Inverse Trig Derivatives

100

f'(sin^-1(x))= ?

1/√1-x²

200

f'(cos^-1(x))= ?

-1/√1-x²

300

f'(tan^-1(x))= ?

1/(1+x²)

400

f'(sec^-1(x))= ?

1/(lxl√x²-1)

500

f'(csc^-1(x))= ?

-1/(lxl√x²-1)

Trig Derivatives

100

f'(cos(x))= ?

-sin(x)

200

f'(sin(x))= ?

cos(x)

300

f'(cot(x))= ?

-csc²(x)

400

f'(sec(x))= ?

sec(x)tan(x)

500

f'(csc(x))=?

-csc(x)cot(x)

Integrals

100

∫(cos(x))dx = ?

sin(x) + C

200

∫(sin(x))dx = ?

-cos(x) + C

300

∫(sec(x)(tan(x)))dx = ?

sec(x) + C

400

∫(1/(1+x²))dx = ?

tan(x) + C

500

∫(1/(lxl√x²-1))dx = ?

sec(x) + C

Geometric Formulas

100

Area of a Circle

pi(r)²

200

Perimeter of a Square

2L + 2W

300

Volume of a Sphere

(4/3)pi(r)³

400

Area of a Trapezoid 

h((a+b)/2)

500

SA of a Cylinder

2pi(r)h + 2pi(r)²