AP Calculus Review GAME!!

Limits

100

lim _x→−3 ((x²-x-12)/(x+3)) 

What is -7

200

lim_x→0 (sin3x)/(3x)

What is 3

300

lim_x→0 (x/(6x))

What is 1/6

400

lim _x→∞ (1/(e^x))

What is 0

500

lim_x→π  csc(x)

What is DNE

Derivatives

100

Find the derivative of the function: g(x)= tan^-1(x)

What is 1/(1+x²)

200

Find the derivative of the function: y=  sec(x)*tan(x)

What is y'=  sec(x) tan²(x)+sec³(x)

300

y= (2x² +5)⁷

What is y'=28x(2x² +5)⁶

400

Find the derivative of the function: f(x)= e^3x

What is f'(x)=3e^3x

500

Find the derivative of the function: y= arccos [x]

What is y'= -1/(√1-x²)

Derivatives 2

100

d/dx [(3x-2x³)]

What is 3-6x²

200

d/dx [5x³ - sin(x)]

What is 15x²-cos(x)

300

d/dx( 3z²- 4z)

What is 6z-4

400

d/dx (3t⁵ cos( -2t⁹)

What is 15t⁴cos(-2t⁹)+3t¹²sin(-2t⁹)(-18t⁸)?

500

f'(0) for f(x)= |x| 

What is DNE?

Integrals

100

Integrate: ∫e^x dx

What is e^x + C

200

∫  sin x dx

What is -cosx +C

300

Integrate: ∫(1/x) dx

What is ln x + C

400

Integrate: ∫-cos(x) dx

What is -sin(x)+C

500

Integrate: ∫ -1/(1+x²)

What is cot^-1(x) + C

Antiderivatives

100

∫ 15x⁴ dx

What is 3x⁵+C

200

∫ -3x² dx

What is -x³ +c

300

∫ 2/z² dz

What is -1/(z)+C

400

∫ cotx (sinx) dx

What is sinx+C

500

∫ (7t+8)^3 dt

What is ((7t+8)⁴)/28  + C