Limits
Derivatives
Related Rates/Optimazation
Integrals
Fundamental Theorem of Calculus
100
4 c)
3
100
#3
B
100
True or false? To verify that a value is a local max or local min, the second derivative can be used to check concavity at that value.
True
100
#5 a)
tant-2/3t3/2+c
100
Find F'(t) for F(t)=
x-x3
200
#4 b)
2(2)1/2
200
Values of x at which the first derivative is equal to 0 or undefined are called the functions _____________?
Critical Numbers
200
True of false,
Steps to solving related rates problems:
Sketch a diagram
Identify the givens
Determine what you are trying to find
Identify correlating equation
Find derivative of equation and make substitutions for the known values.
Solve for unknown rate.
True
200
#5 b)
2-e+1/e
200
#11 a)
(1/x2)-1/2(-2x-3)
300
#4 a)
-1/x2
300
#6 c)
inc: (2, inf)
dec: (-inf, 1)(1, 2)
300
A 10-foot ladder leans against a wall. The base slides away at 2 ft/s. How fast is the top sliding down when the base is 6 ft from the wall?
The top is sliding down at 1.5 ft/s
300
#5 c)
3(5t-4)4/3/20 + C
300
Find F'(x)
-x3+4x2-7
400
#1
D
400
#10 a)
dy/dx = (-2x+4)/(2y-4)
400
#8
16(3)1/2/3
400
#7
8/3 units2
500
#2
D
500
#6 e)
no inflection
concave up: (1, inf)
Concave down: (-inf, 1)
500
#9
32pi cm2/min
500
#11 b)
1/21/2+1/31/2+1/41/2