Derivatives
Integration
Trig
Limits
?
100
f(x)=(5x^4+3x) f'(x)=?
What is 20x^3+3?
100
The antiderivative of 2x is...
What is x^2+c?
100
The derivative of sin (x)=
What is cos(x)?
100
limit as x approaches 0 of f(x)=5x/2x is...
What is 5/2?
100
The leading man in the recent musical film adaptation of Les Miserables is...
Who is Hugh Jackman?
200
f(x)=2x^3 g(x)=x^2+4 h(x)=f(x)g(x) find h'(x)
What is 10x^4+24x^2?
200
The velocity of a car in the time interval 0 to 2 hours is given by the differential equation v(x)=3t^2+5t+3 where t is time in hours. Find the distance, in miles, traveled by the car in the interval. (Note: Car starts at rest)
What is 24 miles?
200
The antiderivative of sec^2(x) is...
What is tan(x)+c?
200
-The limit as f(x) approaches 0 from the plus side is equal to 3. -The limit as f(x) approaches 0 from the negative side is equal to 3. -f(0)=6 -The limit as f(x) approaches 0 is...
What is 3?
200
The name of the primary ship in the TV Show, Star Trek, is...
What is the Enterprise?
300
f(x)=3(e^x+5x^2)^2 f'(x)=?
What is 6(e^x+5x^2)*e^x+10x?
300
The derivative of a function f(x) is given by f'(x)=3/( 2x+4). Find the antiderivative of f'(x) from 0 to 3. Calculator Allowed
What is 1.374 units?
300
Find the third derivative of cos(x) when x=pi/4.
What is square root of 2/2?
300
f(x)=7x^2+3x/(4x^2+5x) Find the limit as x approaches infinity.
What is 14/8?
300
Name given to the group of warriors led by King Leonidas. (Also, they are the subject of a terrible movie)
What is the 300 Spartans?
400
f(x)=7x^5-4x^3+3x^2-4 g(x)=e^3x+8x^4+3^3 find d/dx of g(x)/f(x) Calculator Allowed
What is (21x^5-35x^4-12x^3+21x^2-6x-12)(e^3x-x)(56x^7+32x^5-48x^4+945x^3+128x^2-324x+162)/(7x^5-4x^3+3x^2-4)^2
400
The acceleration of a car is given by the function a(t)=3t+7, where t is time in minutes. The initial velocity of the car is 3 m/s, how far did the car travel, in meters, on the interval 0 to 5 minutes?
What is 227.5 meters?
400
The function f(x) is given by the twice differential equation sin^2(2x). Find the point of inflection on the interval (1,1.5).
What is 1.178?
400
Does the limit of f(x) as x approaches 0 exist under the following conditions? Limit as x approaches 0 from the plus side equals infinity. Limit as x approaches 0 from the negative side equals negative infinity. f(0)=DNE
What is no?
400
The meaning of life.
What is 42?
500
The position of a particle, in meters, is given by the differential equation s(t)=3t^3+12t+5. Find the acceleration of the particle at t=4.
What is 72 m/s^2?
500
There is a differentiable equation given by h(x)=sec^2(x)+7. Find the antiderivative of h(x).
What is tan(x)+7x+c?
500
The differentiable equation f(x)= 2arctan(x^2). The derivative of f(x) is equal to...
What is 4x/(1+x^4)?
500
f(x)=3x^3/4x Find the limit of f(x) as x approaches 0.
What is 0?
500
The best AP Calculus BC teacher ever.
What is Ms. Kosler? Wait, you mean Who is Ms. Kosler?