Derivatives
Integrals
Limits
Theorems and Rules
Misc
100
y=12x2+43x
dy/dx=
24x+43
100
Take the integral of the following:
y'=x3+3x2
y=x4/4+x3
100
lim (5x^2-8x-13)/ (x^2-5)
x->3
2
100
What is it called when you take an integral of a derivative
Fundamental Theorum of Calculus
100
Find the Right Riemann sum
56
200
What is the slope of x3-5x2-140 at X=7
77
200
Integrate the following:
y=sin(x)
-cos(x)
200
What are the reasons you may not be able to differentiate a function?
Cusp, corner
200
What must be true to utilize L'Hospitals Rule?
Both the top and bottom equal 0 when the limit is plugged in.
200
when given the equation of a position graph, how would you get to an acceleration graph?
what is: second derivitive!
300
y=sin(3x+7)
dy/dx=
3cos(3x+7)
300
37/384
300
Find lim x->1
3
300
What does the Mean Value Theorum state?
What is there exists a point c in the interval (a,b) such that f'(c)=f(b)-f(a)/b-a, if a function is continuous on the closed interval [a,b] and differentiable on the open interval (a,b)?
300
Where is f(x) not differentiable?
x=0
400
y=3x5+4x4+14x2+150
d2y/dx2=
60x3+48x2+28
400
(2/3)(x-1)3/2+4(x-1)1/2+C
400
Find Lim x->4-
-2
400
Use the second Fundamental Theorem of Calculus to find F'(x). F(x)=∫(7x+9)dx
7x+9
400
A(t)=x3+17x2+20
V(t)=
x4/4+17x3/3+20x+C
500
y=sin(x)+cos(x)
dy/dx=
cos(x)-sin(x)
500
Find a particular solution for dy/dx = (y - 1) / (3x2 + 3) given that x = 0 and y = 5
y = e^(x3+3x+ln4) + 1
500
Find the limit of f(x) as x --> 1
f(x) = (x / (x - 1)) - (1 / lnx)
1/2
500
Utilize the quotient rule to evaluate the following:
d/dx(sin(x)/x2)
(xcos(x)-2sin(x))/x3
500
This person won the indie 500 in 1984
Who is: Rick Mears 