Question
In: Math
1. True or False: If we know that f(x) is increasing on an interval, then f...
1. True or False:
If we know that f(x) is increasing on an interval, then f ''(x) should be positive on that interval.
2. True or False:
If f '(x) is increasing on a certain interval, then f ''(x) is positive on that interval.
3. If f ''(x)<0 on a certain interval, which of the following must be true on that interval? (2 answers)
A. f '(x) is decreasing
B. f(x) is increasing
C. f(x) is concave down
D. f(x) is concave up
E. f(x) is decreasing
F. f '(x) is concave down
G. f(x) is negative
H. f '(x)<0
4. At an inflection point...
A. f(x) has a horizontal tangent line
B. f '(x) = 0
C. f ''(x) = 0
D. f(x) = 0
E. f(x) has a vertical slope
5. If f '(a) = 0 and f ''(a) > 0, then...
A. f(a) is a local minimum
B. f(a) is an inflection point
C. f(a) is a critical point, but we can't determine if it is a max or min
D. f(a) is a local maximum
6. Either the First Derivative or the Second Derivative Test may be used to find local extrema.
True or False
7. Every critical point is a local extrema.
True or False
8. For the function f(x)=x^5-3x^2, x=1 is a local min.
True or False
9. For the function f(x)=x^5-3x^2, x=1 is a global min.
True or False
Solutions
milcah answered 2 years agoRelated Solutions
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