Definitions
Derivative
Extrema
Physics
Grab Bag
100
f '(x) g(x) + f(x) g'(x)
What is the product rule
100
d/dx [sin^2(x) +cos^2(x)]
What is 0
100
The absolute maximum of the function y=4
What is none
100
The initial velocity in the position x(t) = -5t^2 +10t +10
What is 10
100
The name of Mr. Cassano's dog
What is Dori
200
[f '(x) g(x) - f(x) g'(x)]/f(x)^2
What is quotient rule
200
d/dx [x^3 +2x^2 +2]
What is 3x^2 + 4x
200
The absolute minimum of y=x^2 from [-2, 2]
What is x = 0
200
The acceleration in the position function x(t)=-12t^2 +10t - 4
What is -24
200
The names of the math teachers at Knox
Mrs. Abaidoo, Mr. Wicks, Mr. Habibi, Mr. Christianson and Mr. Cassano
300
limit exists, the function is defined and the limit equals the function
What is continuity
300
f ' (pi) if f(x)=x + sin(x)
What is 0
300
The relative extrema of the function y = 3x^2 - 2x
What is a relative minimum at x = 1/3
300
The maximum height the object travels in the function x(t) = -5t^2 + 10t -4
What is 1
300
lim(∆x→0)⁡〖(2(x+∆x)^2-2(x+∆x)-[2x^2-2x])/∆x〗
What is 4x - 2
400
A critical point where the derivative of the function changes from positive to negative
What is relative maximum
400
d/dx [(4x^2 + 2x)(-3x^3 + 3x^2 + 3x)]
What is (8x + 2)(-3x^3 + 3x^2 + 3x) + (4x^2 + 2x)(-9x^2 + 6x + 3)
400
The relative extrema of the function x^4 - 6x^2 +5
What is a relative minimum at -3^(1/2) and 3^(1/2) and a relative maximum at 0.
400
The velocity when the position function x(t)=-5t^2 +10t is equal to zero.
What is 10 and -10
400
The zeros in the function x^2 - 3x - 4
What is x = 4 and x = -1
500
A critical point where the second derivative of the function is positive.
What is Relative Minimum
500
d/dt [4x^2 + 2xt + t^2]
What is 2x + 2t
500
The relative extrema of y=sin(x) from [0, 2pi]
What is a relative maximum at pi/2 and 3pi/2
500
The relative maximum velocity of the position function x(t) = 4t^3 -9t^4
What is 0.2
500
The point on the graph where the function y=x^4 - 2x^3 +2x -1 changes concavity
What is x=0 and x=1
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