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Wolf - Calculus Review - optimization Flashcards | StudBud
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Wolf - Calculus Review - optimization
Wolf - Calculus Review - optimization
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Review for test over optimization, and relationships among derivatives. #calculus #optimization
Flashcards
15 cards
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Questions
15
Answers
1
Mr. Wolf is... (theyre all right, just click quick)
no comment
the best teacher ever
the best math teacher ever
the best Calc AB teacher I have this year
2
Given the
graph of the derivative
, what is happening at x=4
the function has a relative max
the function has a zero
the function has an inflection point
the function has a relative min
3
If the first derivative changes from positive to negative,
The function has a relative max
The function has a zero
The function has a POI
The function has a relative min
4
If the first derivative is positive...
The function is decreasing
The function is increasing
The function is concave up
The function is concave down
5
How can you verify a max or min?
Use test intervals of the first derivative
Look at the domain
Use the second derivative test
IDK
6
Given the
graph of the derivative
, where is the function concave up?
(4,∞)
(-∞,2) U (4,∞)
(-∞,3)
(3,∞)
7
If the slope of the first derivative is positive,
The function is increasing
The function is concave up
The function approaches infinity
The first derivative is positive
8
What is the correct equation to be maximized?
P=xy
xy=9
P=x y2
x+y=9
9
Which is the correct equation to be optimized?
A=x2 y
4xy=48-x2
V=xy
V=x2 y
10
What is the final step in an optimization problem?
Answer the correct question
Write the equation
Verify if its a max or min
Find the second derivative
11
Can an optimization problem have more than one correct answer?
Yes
No
12
What is the first step to solving an optimization problem?
Find the derivative
Optimize
Verify
Identify given quantities, write the equation to optimize
13
Optimization is an application of... (2 possible answers)
Derivatives
Integrals
Calculus
Area
14
What equations are needed, in general, to solve an optimization problem?
One primary equation, and possibly one secondary
An equation to be maximized
One to be minimized
the quadratic formula
15
If the first derivative is decreasing,
The function is decreasing
The function has a negative slope
The function is concave down
My grade is decreasing
