Famous People
1st Derivative, 2nd Derivative, Red Derivative, Blue Derivative
Rules of Survival
The Cons of a Cavity
Where Were You?
100
During his time at North Carolina University, this man studied Calculus, while also bringing home a national championship in 1982.
Who is Michael Jordan
100
When is there a discontinuity in the graph of f(x)?
(accept any)
What is a vertical tangent line, cusp/corner, jump discontinuity?
100
One of our first derivative rules learned, this rule follows the 1d2+2d1 method.
What is the Product Rule?
100
When this is concave up, f'' is > 0
What is f?
100
When displayed as a function, this value is normally described as v(t).
What is Velocity?
200
In every video note she's in, she makes sure to inform you about the numerous places she's been to, including camping on the east coast.
Who is Teresita Lemus?
200
This process includes finding a derivative, then equalling it to zero.
What is finding critical points?
200
This Rule involves integrals, upper bounds, and lower bounds.
What is the Fundamental Theorem of Calculus?
200
This term is described as when f' changes sign.
What is a Point of Inflection?
200
The acceleration of v(t)= 3t3-7t+63
What is a(t)= 9t2-7?
300
This person appears in many AP Classroom Video notes through chapters 1-5.
Who is Jerome White?
300
This formula serves as a baseline to find a derivative
What is the Definition of a Derivative?
300
Average Value
300
This is used in failure of its predecessor, meant to find minimums and maximums.
What is the Second Derivative Test?
300
This is the velocity of a function when a(t)= 12t-6
What is 6t2-6t?
400
This Person appears in a medley of video notes, mainly in chapters 2-4.
Who is Virge Cornelius?
400
The reason The First Derivative Test fails
What is f' does not exist?
400
If indeterminate form is found, this rule can be used to change the numerator and denominator into derivatives.
What is L'Hospital's Rule?
400
f' does this when f'' is < 0
What is decreasing?
400
If a function s(t) has a graph with the direction of a diagonal line, what direction does the line of function v(t) on a graph look like?
What is a horizontal line?
500
Known as the one of the Fathers of Calculus, this man even has a notation named after him.
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Who is Leibniz?
500
During AP Video Notes, Mark Kiraly told us to always .....
What is keep our pencils moving?
500
What to use when f(x) is continuous on [a,b] and differentiable on (a,b) then there is a c such that
f'(c)=f(b)-f(a)/b-a
Mean Value Theorem
500
This is what happens when a tangent line is drawn next to a concave down graph.
What is an overestimate?
500
This term refers to the motions of s(t), v(t), and a(t) occurring in a straight line.
What is Rectilinear Motion?