Logarithms/Inverse Functions
Limits/Sequences
Limits & Derivatives
More Derivatives
MISC
100
The Horizontal Line Test (HLT) is...
What is A test to determine whether a function is one-to-one. If the HLT crosses the graph no more than once, the function is one-to-one.
100
In your own words, describe what a sequence and recursive sequence are.
I was too lazy to write down the actual definitions. If it sounds good to me, you win.
100
The "English" definition of 'Derivative'
What is the slope of the tangent line of a curve at a point x
100
The Power Rule to find the derivative for the function f(x)=x^n can be expressed as
What is f'(x)=n*x^(n-1)
100
What is my favorite number?
What is Seventy-Three (73).
200
What is the relationship between natural log (ln) and 'e'?
What is the two are inverses of each other.
200
Find the general formula for any nth term. 1/2, 2/3, 3/4, 4/5,...
What is n/(n+1)
200
The limit of (sin x)/x as x approaches zero.
What is 1
200
The mathematical definition of 'Derivative'.
What is the limit as h approaches 0 of [f(x+h)-f(x)]/h
200
Give me one of the two classrooms I teach section in.
What is McHenry 1240 or McHenry 1257
300
The domain of f(x)-inverse is the __________ of f(x)
What is range of f(x).
300
The limit of f(x) at a point x exists if and only if...
What is the limit of f(x) at x+ equals the limit of f(x) at x-.
300
Find the 73rd Derivative of the function f(x) = x^68 -x^45+21x^37-pi
What is 0
300
Define the quotient rule. f(x) = g(x)/h(x)
What is [h(x)g'(x)-h'(x)g(x)]/(h(x))^2
300
What are at least three ways we denote a derivative?
What is f'(x), y', dy/dx, d/dx, d[f(x)]/dx
400
ln(e^(7-3x)) = ln73. What is x?
What is x=(1/3)(7-ln73)
400
Find the a formula for the general nth term: 3/5, -4/25, 5/125, -6/125, 7/3125,...
What is (-1)^(n-1)*(n+2)/(5^n)
400
If f(x) = 2sin x and g(x) = cos x, calculate d/dx (f(x)*g(x))
What is 2(cos x)^2 - 2(sin x)^2
400
Find f'(x) of f(x)=(x^4 + 3x^2 - 2)^5
What is 5*((x^4 + 3x^2 - 2)^4) * (4x^3 + 6x)
400
Given f(x) = |x|, what happens at f'(0)?
What is there is a step discontinuity at f'(0).
500
Using the Change of Base Formula, log-b (x) =
What is lnx/lnb.
500
The limit as x approaches zero of (tan x*cos x)/x
What is 1
500
the limit as x -> 0 of [(e^h)-1]/h = Hint: it's a definition
What is 1.
500
Find f'(x) of f'(x) = cos(sin(sin(x)))
What is -cos(x)*sin(sin(x))
500
Find f''(x) of f(x) = tan(x)
What is 2*(sec (x))^2*tan(x)
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