Definitions
Limits
Sudden Death
Derivatives
Random
100
original(f)*derivative(g) + original(g)*derivative(f)
What is product rule?
100
*This one is given the question first. A particle moves on a line away from its initial position so that after t seconds it is s=2t²-t feet from its initial position. Find the average velocity of the particle over the interval [1,3].
What is 7ft/sec?
100
Integrate the function. 5x^4-4x^3+2x+x^(-2)-3x^(-4)
What is (x^2+1/x^3 )(x^3-x^2+1)?
100
Find the Derivative. 8x2-10xy+3y2=26
What is (-16x+10y)/(-10x+6y)=y’ ?
100
∫outside'(inside)*inside'= outside (inside) ∫f'(g(x))dx=F(g(x))+C
What is Integration?
200
(Bottom)*derivative(Top) – (Top)*derivative(Bottom) (Bottom) ²
What is Quotient Rule?
200
Question given first. lim┬(x→4)⁡〖(3-√(x+5))/(x-4)〗
What is -1/6 ?
200
*The question is given first. ∫_1^3▒(4x^3-6)(12x^2 )dx [1,3]
What is 5200?
200
Find the relative extrema. f(x)= x/(x-2)
What is Relative max: 3 Relative min: 5?
200
∫a^b〖f(x)dx=f(b)-f(a)〗[a,b]
What is the Fundamental Theorem of Calculus?
300
derivative(Outside)*original(Inside)*derivative(Inside)
What is Chain Rule?
300
Question given first. lim┬(x→3)⁡〖(x^4-81)/(2x^2-5x-3)〗
What is 108/7 ?
300
*The question is given first. xe^y=2-ln⁡(2)+ln⁡(x), when dx/dt= 6; x=2; y=0
What is : -3/2?
300
Find the Derivative. y= 4/(cos(x))
What is y’= (4-sin(x))/(cos(x))2 ?
300
Integrate this. -cos⁡x
What is ∫⁡sin(x) dx?
400
derivative(Whatever)/(Whatever)
What is Log Rule?
400
Question given first. lim┬(x→2)⁡〖(x^2+4x-12)/(x^2-2x)〗
What is 4?
400
*Question is given first. Southern Grasshopper mice can be a major problem that reduce the population of grasshopper. Southern Grasshopper mice are preyed upon by hawks. A model for the predation rate (per capita) is given by R(d)=300d/(900+d2) Where d is the density of Southern Grasshopper mice. For which density of Southern Grasshopper mice is the per capita predation rate maximal?
What is d=30?
400
Find the 2nd Derivative. F(x)= x3-3x2-24x+32
What is F’’(x)= -18 ?
400
(1/(n+1))*x^(n+1)
What is Power Rule?
500
e^(Whatever)*(Whatever)
What is Exponential Rule?
500
Question given first. lim┬(t→0)⁡〖cos⁡(π/t〗)
What is DNE?
500
Find the derivative. f(x)= e^(4x+7)
What is f’(x)= e^(4x+7)*4
500
sec(x)*tan(x)
What is (d/dx) [sec(x)]
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