Limits & Continuity
What law is used when a limit equals 0/0?
L' Hospital
Find the derivative of f(x)=tan(3x)
3sec2(3x)
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]
Integrate F'(x)=3x2+6x.
x3+3x2+C
Where is Fatou from?
Mali
When a limit is going to infinity, what do you look at first?
The exponents
Find the derivative of f(x)=ln(x3+3x2+7).
(3x2+6x)/(x3+3x2+7)
(right hand and left hand)
When the right hand limit and the left hand limit are equal. Then the overall limit exist.
Integrate F'(x) = x2
(x3/3) +C
How many families does Angelina babysit?
To many to count
What happens if the limit is going to infinity and the top exponent is greater than the bottom one?
DNE
Find dy/dx for the following function: x2y3+y2+3x=y.
(-3-2xy3)/(3x2y2+2y-1)
Complete the Fundamental Theorem of Calculus?
= F(b)-F(a)
Integrate CscxCotx dx
-cscx + C
How much does Jayana charge for a Smedium Knotless boho braids?
To much money to have in this economy
What's the limit as X approaches 1 of (x2-x-2)/(x2-2x)
2
Find f'(x)
f(x) =sin(ln(2x))
f'(x) = Cos(ln(2x)) * 1/x
What does E.V.T state?
A continuous function on a closed interval will reach both an ABS MAX and MIN.
Integrate x/(4+x2)1/2
(4+x2)1/2+C
How many months has Gabi been in relationship with Dunkin Donuts and Jay G combined?
Tbh idk
When the Limits h approaches 0 of (sin(x+h) - sin(x))/h
What's the derivative
cosx
Find the derivative of f(x)=3x2+7x-2 using the limit process.
6x+7
Use the second Fundamental Theorem of Calculus to find F'(x). F(x)=∫2x(9t+9)dt
9x+9
Integrate 1/(x3+1) dx
(1/3) * ln(|x+1|) - 1/6*ln(|x2-x +1|) + ( √3 * arctan(2 √3x - √3/3))/3 + C
Can Moe C Dunk?
F*** NO!