Limits & Continuity
Differentiation
Theorems
Integrals
Fun Facts about Us
100

What law is used when a limit equals 0/0?

L' Hospital 

100

Find the derivative of f(x)=tan(3x)

3sec2(3x)

100

What does the function need to be to apply M.V.T

1. Continuous over Open interval [a,b]

2. Differentiable over Open interval [a,b] 

100

Integrate F'(x)=3x2+6x.

x3+3x2+C

100

Where is Fatou from?

Mali

200

When a limit is going to infinity, what do you look at first?

The exponents

200

Find the derivative of f(x)=ln(x3+3x2+7).

(3x2+6x)/(x3+3x2+7)

200
What is the limit theorem?

(right hand and left hand)

 

When the right hand limit and the left hand limit are equal. Then the overall limit exist.

200

Integrate F'(x) = x2

 (x3/3) +C 

200

How many families does Angelina babysit?

To many to count

300

What happens if the limit is going to infinity and the top exponent is greater than the bottom one?

DNE

300

Find dy/dx for the following function: x2y3+y2+3x=y.

(-3-2xy3)/(3x2y2+2y-1)

300

Complete the Fundamental Theorem of Calculus?

= F(b)-F(a)

300

Integrate CscxCotx dx

-cscx + C

300

How much does Jayana charge for a Smedium Knotless boho braids?

To much money to have in this economy

400

What's the limit as X approaches 1 of (x2-x-2)/(x2-2x) 

2

400

Find f'(x) 

f(x) =sin(ln(2x))

f'(x) = Cos(ln(2x)) * 1/x

400

What does E.V.T state?

A continuous function on a closed interval will reach both an ABS MAX and MIN.

400

Integrate x/(4+x2)1/2

 (4+x2)1/2+C

400

How many months has Gabi been in relationship with Dunkin Donuts and Jay G combined? 

 Tbh idk 

500

When the Limits h approaches 0 of (sin(x+h) - sin(x))/h

What's the derivative

cosx

500

Find the derivative of f(x)=3x2+7x-2 using the limit process.

6x+7

500

Use the second Fundamental Theorem of Calculus to find F'(x). F(x)=∫2x(9t+9)dt

 9x+9

500

Integrate 1/(x3+1) dx

(1/3) * ln(|x+1|) - 1/6*ln(|x2-x +1|) + ( √3 * arctan(2 √3x - √3/3))/3 + C

500

Can Moe C Dunk?

F*** NO!