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Questions and Answers
What is the solution for x in the first equation provided?
What is the solution for x in the first equation provided?
- x = -3 (correct)
- x = 1
- x = 0
- x = 3
What is the value of the second derivative of the function f(x) = -8x at any point?
What is the value of the second derivative of the function f(x) = -8x at any point?
- -16
- -8 (correct)
- 0
- 8
For the function f(x) = +3x, what can be said about its relative minimum and maximum values?
For the function f(x) = +3x, what can be said about its relative minimum and maximum values?
- It only has a relative maximum value.
- It has both a relative maximum and a minimum.
- It has no relative minimum or maximum values. (correct)
- It only has a relative minimum value.
What is the relative maximum value for the function f(x) = -24x + 5?
What is the relative maximum value for the function f(x) = -24x + 5?
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What is the second derivative test conclusion for the function f(x) = -8x?
What is the second derivative test conclusion for the function f(x) = -8x?
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Study Notes
Solving for x
- First equation solution: X = -3
- Second equation solution not provided
- Third equation solution not provided
Finding Relative Extremes Using the Second Derivative Test
- Function f(x) = -8x
- Relative maximum value identified: -16
- Function f(x) = -24x + 5
- Relative maximum value identified: -24
- Function f(x) = 3x
- No relative minimum or maximum values exist for this function
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