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Derivative
Integral
Extremes
Limits
Mystery
100
F(x)=4x+8
What is F'(x)=4
100
Y=2x+3dx
What is dy/dx=x^2+3x+c
100
f(x)=6x−x^2
What is Rel.max. at x=3, f(3)=9
100
F(x)=2/(x-1) Lim F(x) as x approaches 1, from the left.
What is Lim f(x)=-infinity
100
Arc(sin(-1/2))
What is =-pi/6
200
Y=(3x^2)sinx
What is y'=3x(xcosx+2sinx)
200
Y=(x^2-3)dx evaluated from (1,2)
What is =-2/3
200
f(x)=x^(2/3) −3
What is Rel.min. atx=0, f(0)=−3
200
Limit cos(1/x) x➡0
What is limit does not exists
200
Y=2^x
What is 3(2^3x)(ln2)
300
Y=(5x-2)/(x^2+1)
What is y'=(-5x^2+4x+5)/(x^2+1)^2
300
Y=sec^2(x)dxevaluated from (0,pi/4)
What is x=1
300
f(x) = 3x^3 - 4x^4
What is x = 0, 16/9
300
Lim (sinx)/(x) x➡0
What is =1
300
Y=-sin(x)e^cosx
What is -e^cosx+c
400
D/dx [cscx]
What is y'=-cscxcotx
400
Y=(e^x)/(1+e^x)dx evaluated from (0,1)
What is ln(1+e)-ln(2)
400
f(x)=(x−5)^2
What is Rel.min. atx=5, f(5)=0
400
Lim(tan^2x)/(x) limx➡0
What is =0
400
Find the derivative of f(x)=(cosx)/(1+sinx)
What is Pi halves, 3 pi halves, 5pi halves, 7 pi halves
500
Take the second derivative of f(x)=(cosx)/(1+sinx)
What is -(pi/2), (3pi/2), (5pi/2), (7pi/2)
500
Using Simpsons rule evaluate y=xtanxdx n=4
What is .186
500
f(x)=2sinx+sin(2x), 0≤x<2π
What is Rel. min at x = 5pi/3, f(5pi/3) Rel. max at x = pi/3, f(pi/3)
500
F(x)= 6-x^2 (1,5) Lim x➡0
What is =-2
500
6-4
What is 2