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Pre-Calculus
Limits
Derivatives
Derivatives II
Applications of Derivatives
100
Evaluate: csc(pi/6)
What is 2
100
What is the limit as x approaches a number if the function oscillates around the number.
What is undefined
100
The following are two conditions for continuity: A. f(a) is defined B. the limit as x approaches a of f(x) exists What is the third condition?
What is the limit as x approaches a of f(x) equals f(a)
100
What does the second derivative indicate?
What is acceleration
100
What is a critical number?
What is a number that makes the derivative equal to zero or undefined.
200
Evaluate: arctan(1)
What is pi/4
200
Explain the two pronged definition that must be present in order for a limit to exist
What is the limit from the left and from the right must be equal.
200
Name the three ways that a function can fail to be differentiable
What is A. A corner, B. A discontinuity, C. A vertical tangent
200
In terms of velocity, what does the slope of the tangent line reveal?
What is instantaneous velocity
200
What are the three hypotheses of Rolle's Theorem?
What is 1. Cont on [a, b] 2. Diff on (a, b), 3. f(a) = f(b)
300
Evaluate: log(-10)
What is undefined
300
True/False: If f(a) is undefined, then the limit as x approaches a will also be undefined.
What is False: Not Necessarily
300
In general, what would the following calculation be used for? ABS(f(5) - f(3)
What is the total distance traveled by a particle
300
How do you tell if a particle is slowing down?
What is if the velocity and the acceleration have opposite signs.
300
What method do we use to determine where a function's absolute min or max is located?
What is The Closed Interval Method
400
Express cotangent in two different forms
What is 1/tan(x) and cos(x)/sin(x)
400
Evaluate: lim as x approaches a of c
What is c
400
Evaluate: d/dx(cot(x))
What is -csc^2(x)
400
What is the 27th derivative if cos(x)?
What is sin(x)
400
How do you determine if a function has a local max?
What is if the function's derivative changes from negative to positive
500
What is the horizontal asymptote of the following: r(x) = (3x^2 + 4)/(x^2 - 4x + 10)
What is y = 3
500
What theorem does the following imply? f(x) < g(x) < h(x)
What is the squeeze theorem
500
d/d(x) is called what?
What is Leibniz Notation
500
In general, when do you use the chain rule?
What is when you have a composition of two functions
500
Explain how you can tell if a function has an inflection point
What is if the second derivative changes from pos to neg or neg to pos.