Defined as the ratio of a circle’s circumference to its diameter.
What is pi?
100
The two people generally credited with formulating the formal field of calculus.
Who are Leibnitz and Newton?
100
D’(f(g(x))) = (f’g(x))*g’(x)
What is the chain rule?
200
You can find these through a number of ways, such as Cauchy’s definition. They can exist where functions don’t.
What are limits?
200
Derivative of e^x.
What is e^x?
200
Has multiple definitions, including (1 + 1/n)^n as n approaches infinity.
What is e?
200
The ancient civilization that laid the foundation of modern mathematics.
Who are the Greeks?
200
f’(c) = (f(b)-f(a))/(b-a)
What is the mean value theorem?
300
A nonremovable discontinuity that also has a one-sided limit of either infinity or negative infinity.
What is an asymptote?
300
Derivative of tan(x).
What is sec^2 (x)?
300
1.41421356237.....
What is the square root of 2?
300
An antecedent of calculus, the culture that carried on developing higher math through the European Dark Ages, and invented algebra.
What is the Arab/Muslim culture?
300
An indefinate integration can be reversed by a differentiation.
What is the First Fundamental Theorem of Calculus?
400
The point or points on a curve where a graph changes from being concave up or down to the opposite concavity.
What are inflection points?
400
Derivative of 7^x.
What is ln 7 * 7^x?
400
Area of a triangle with sides of length one and half its height.
What is sqrt(3)/4?
400
The author of "Elements", one of the first mathematical textbooks.
Who is Euclid?
400
One of the first theorems in the Calculus textbook, it's quite helpful in finding limits by finding the limits of two adjacent functions. Sandwiches anyone?
What is the Squeeze Theorem?
500
It allows for one to determine whether or not a function is increasing or decreasing on any given interval.
What is the First Derivative Test?
500
The derivative of arctan(x).
What is 1/((1+x)^2)?
500
The sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one.
What is the golden ratio/φ?
500
The name of the numerals that we currently use. Hint: not Roman.
What are Arabic numerals?
500
A topic found not in AB, but BC, this rule allows for limits to be found when substitution makes you divide by zero or infinity. Bernoulli would be proud.