Calculus Vocab
If the degree of the numerator is greater than the degree of the denominator, the graph has this.
What is: no horizontal asymptote.
Derivative of: f(g(x))
What is: f'(g(x)) g'(x)
An integral is used to indicate antiderivatives and also this concept.
What is area bounded between the curve and the axis.
This student's uncle is the boy who lived.
Who is Potter?
If f''(x) changes sign at x = c then (c, f(c)) is this.
What is: a point of inflection.
If g(x)/f(x), this is the quotient rule.
What is: (fg'-gf')/f2
∫cscx cotx dx
What is: -cscx + C
If you mash up a student's first name with a different student's last name you get this famous director of Spy Kids, From Dusk Til Dawn, Desperado and Sin City.
Who is Robert Rodriguez?
Intermediate Value Theorem says this.
What is: If f(x) is continuous on (a,b) and f(a) < f(c) < f(b) there must be some value of c on (a,b) such that a < c < b.
Derivative of: e2x
What is: 2e2x
What is: dy/dt = 2x dx/dt + 4.
∫3sec2(x)dx
What is: 3tan(x) + C
Knowing this student's name will also help you score travel deals and earn Carrot Cash
Who is Hopper?
An object that is speeding up must have this.
What is: velocity and acceleration have the same signs.
If f and g are inverses, derivative of g =
What is: 1/(f'(g(x))
This is the fundamental theorem of calculus part 1.
What is: ∫f'(x) dx from a to b = f(b)-f(a)
∫(1/x)dx
What is: ln|x| + C
The student who has missed the most classes was born in this month.
What is April?
∫f(x) dx from a to b is the name of this limit.
What is: lim as n approaches infinity the summation from i=1 to n of f(a + change in x *i) (change in x)
Derivative of: tan-1(x)
What is: 1/(1+x2)
This is the second fundamental theorem of calculus.
What is: d/dx ∫ f(t)dt from a to b = f(x)
∫g'(x) f'(g(x)) dx
What is: f(g(x)) + C
If you add up the total amount of student absences in this class you get this number (closest gets the points/if tied, shared)
What is 181