The Life and Times of Ms. Feist, As Interpreted By Fifth Period Calculus AB Students; Recognizing Ms. Feist's Right to Privacy Respectfully While Remaining Committed to Our Original Goal to Create Questions of the Utmost Quality (With a Flair For Creativi
100
Let f be continous on the closed interval [a,b] and differentiable on the open interval (a,b) if f(a)=f(b) then there is at least one # c in the (a,b) such that f'(c) must be 1 horizontal tangent line
What is Rolle's Theorem
100
∫ (x^3 +1)/( x^2) dx
(on the interval from 1 to 2)
What is 2
100
This is the derivative of y = a^u
What is a^u (lna) (du/dx)
100
This is the derivative of tan(x)
What is (sec(x))^2
100
This is the night of the week when Ms. Feist habitually eats dinner with her parents.
What is Sunday
200
If the function f(x) is continous on [a,b] and the first derivative exists on the interval (a,b), then there is at least one number x=c in (a,b) such that
f'(c)=((f(b)-f(a))/ (b-a)
What is Mean Value Theorem
200
∫tanx dx
What is -ln|cosx| + c
or
ln|secx| + c
200
The derivative of ln(4x^2)
What is 2/x
200
If you were asked to find a limit, and it comes out as 0/0, you COULD use a theorem developed by this famous mathematician.
What is L'Hopital
200
This is Ms. Feist's least favorite holiday.
What is Halloween
300
1/(b-a) ∫f(x)dx
(on the interval from a to b)
What is Average Value
300
Integral of.... (xdx)
-------------
√(4-x^2)
What is 2- √3
300
This is the derivative of 5^(4x-12)
What is (5^(4x-12)) (ln5) (4)
300
This is the derivative of cos(x).
What is -sin(x)
300
This is Ms. Feist's Middle name.
What is Kirsten
400
∫uv dv = uv - ∫vdu
What is Integration by Parts Formula
400
∫sinx e^(cosx) dx
What is -e^(cosx) +c
400
This is the derivative of (3x-1)^4
What is (12) (3x-1)^3
400
This is the derivative of the function Y = ye^kt
What is k*y
400
Ms. Feist's favorite Fairport restaurant
What is Donnelly's
500
V= ∏ ∫ [R(x)]^2 dx
What is volume using disk method
500
Integral of..... e^(3x)
------------- dx
2e^(3x) +5
What is 1/6ln|2e^(3x) +5| + c
500
This is the derivative of LOVE <3.
What is 0, because love is a constant
500
This is a letter that is very important when taking indefinite integrals.