An equation that gives the slope of a graph at a specific point
What is a derivative?
100
A function of which a given function is the derivative, i.e., which yields that function when differentiated, and which may express the area under the curve of a graph of the function.
What is an integral?
100
sin x + C
What is [integral] cos x dx
100
The organization that administers AP tests and provides college planning resources to students.
What is the College Board?
200
[n(fx)^(n-1)]*f(x)^-1
What is the Chain Rule
200
e^x
What is the derivative of e^x?
200
e^x
What is [integral] e^x dx
200
sec^2(x)
What is the derivative of tan(x)
200
Approximately 3 hours and 15 minutes
What is the approximate testing time for the AP test?
300
fnInt(f(x),x,a,b) = F(b)-F(a)
What is the fundamental theorem of Calculus?
300
(f'(x)/f(x))
What is the derivative of ln(x)
300
(2/3)(x-a)^(1/2)
What is [integral] (x-a)^(1/2)
300
-ln|cos x| + C
What is [integral] tan x dx
300
You may use calculators on one free response section and one multiple choice.
What is the number of sections calculators may be used on for the AP test?
400
If the limit of f(x)/g(x) equals 0/0 or infinity/infinity then the limit of the function is equal to f'(x)/g'(x)
What is l'hospital's rule?
400
b^x * ln(b)
What is (d/dx) of b^x
400
(5/2)ln(x)+C
What is [integral] (5/2x)
400
1/(abs(x)*(sqrt(x^2-1)))
What is the derivative of arcsec(x)
400
The test began being proctored by the CollegeBoard in 1990.
What is the first year the CollegeBoard offered the Calculus AP test?
500
F(x) = fnInt(f(t),t,a,x) then F'(x)=f(x)
What is the Second Fundamental Theorem of Calculus?