Rules!
To answer a question, you must
Raise your hand!
This is the derivative of 3x^2 + 7x - 4
What is 6x + 7?
This is the product rule.
What is f(x)g'(x) + f'(x)g(x)?
This is the general power rule.
What is
d/(dx)u^n=(n)u^(n-1)(u')
This is what you do when you take the limit of a function and the result of the limit it 0/0 or ∞/∞
What is "you L'Hopital it!"?
The person who said this answer gets a tally on the board.
This is what dy/dx is equal to for 3x=y
What is 3?
This is the color of Mr. Krieger's suit jacket last time we played Jeopardy.
What is blue/ dark blue/ navy blue? IDK WHICH, IM COLORBLIND. ONE OF THESE THREE GETS POINTS
This is the tangent line given:
x^2+2xy-y^2+x=2, (1,2)
What is
y=7/2x-3/2
Mr. Krieger MUST finish reading the question.
This is the derivative formula
What is
lim_(Δx>0)(f(x+Δx)-f(x))/(Δx)
This is the quotient rule
What is
(g(x)f'(x)-f(x)g'(x))/g(x)^2
Double Jeopardy: This question is worth 400 points but getting it wrong results in -200.
This is the chain rule
What is
d/dxf(g(x))=f'(g(x))(g'(x))
This is the name of this rule.
lim_(x>c)(f(x))/(g(x))= lim_(x>c)(f'(x))/(g'(x))
What is L'Hopital's rule?
The person who said this rule gets a point on the board.
This is what dy/dx is equal to when deriving with respect to x for
x^2-2y+3x=0
What is
x+3/2
Judging by the years that Mr. Krieger gave for his graduation, this is the year that Mr. Krieger should have gotten his bachelor's degree. (Mr. Krieger has a master's degree to give reference)
What is 2023.
This is the derivative of tan(9x)sec(3x) [Simplify as much as possible. When you have your derivative, factor out what both sides have in common].
What is
3 sec ( 3 x ) ( tan ( 3 x ) tan ( 9 x ) + 3 sec^2 ( 9 x ) )
If you raise your hand before a question is finished
You will NOT get called on for the question
This is the slope at (0, 4) for the function
x^2-3x+4
What is -3?
This is the derivative of
(x^2+3x-1)/x^2
What is
This is the derivative of
sin(3x^2)
What is
6xcos(3x^2)
True or false: L'Hopital works for this problem to help find the limit of
lim_(x>0)cos(x)/x
False. 🗿
This is what dy/dx equals when deriving 5xy=0
What is
dy/dx=(-y)/(x)
This is the list of people Mr. Krieger said he was away from the President of the United States.
What is (Dad, Congresswoman, President)
Let
f(x) = cot(x^2)
and let
g(x) = x^2+2x+1
This is the derivative of f(g(x)).
What is − 4 ( x + 1 ) ( x^2 + 2 x + 1 ) csc^2 ( ( x^2 + 2 x + 1 )^2 )
Once your hand is raised
You have 10 seconds to answer the question!
This is the tangent line at point (0, 7) for the function
x^2+2x+7
What is 2x + 7?
This is the derivative of
(x^2+3x)/(2x-2)
What is
(2 ( x^2 − 3 x − 3 ))/(( 2 x − 3 )^2
Double Jeopardy. This question gets 800 points, but if you get it wrong you get -400 points.
Simplify as much as possible. This includes foiling and doing like terms. This is the derivative of
(x^2+1)/(2x^2+7x+2)
What is
(7x^2-7)/(4x^4+14x^3+53x^2+14x+4
This is the limit for
lim_(x → 2) (x^3 − 7x^2 + 10x)/(x^2 + x − 6)
What is
-6/5
This is what dy/dt is equal to when taking the derivative with respect to time, t,
3x^2+7y^2+2x-4y+3xy=0 (dx)/dt = 2
What is
(dy)/(dt)=(-12x-4-6y)/(14y + 3x - 4)
These are the subjects that Mr. Krieger taught at the first school he was at (internship)
What are Algebra 1 and Geometry?
Uh oh. This was the hardest problem...
This is the limit as x> ∞ for this equation. No computer allowed.
lim_(x> ∞)(sqrt(x^2+1))/x
What is 1?
False!
Abstaining results in no point reduction.
However, a true or false question MUST be answered.
This is the tangent line at
(pi/3, sqrt3/2)
for the function sin(x)
What is
\frac{1}{2}x+\(\frac{\sqrt{3}}{2}-\frac{\pi}{6})
This is the derivative of
e^(x^2)(log_4(x))
What is
e^(x^2)1/(xln(4)) + 2xlog_4(x)e^(x^2)
Let g(x) = (3x + 17)
Find the derivative of f(g(x))
What is
9/(9x+50)
This is the limit of
x^2/e^(1-x)
as x approaches infinity.
What is 0?
A car is leaving a house and is traveling east with a position formula of
s=4t^2
First it traveled 3 miles south before turning on the road to go east. Find the rate of change of the total distance from the house, x, if t = 1 minutes.
What is 32/5
This is the number of pages in the essay that Mr. Krieger had to write that deterred him from being an English teacher.
What is 91 pages?
This is what the dy/dt is when taking the derivative of
e^(3cos7y)=t
with respect to t.
What is
-e^( − 3 cos ( 7 y ))/(21sin(7y)) or -1/(21e^( 3 cos ( 7 y ))sin(7y)