题目内容
（请给出正确答案）
.
A.(A) 
B.(B) 
C.(C) 
D.(D) 
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11. Let
, then which of the following is true?
A、(A)
does not exist.
B、(B)exists, but f is not continuous at 0.
C、(C)f is continuous at 0 but not differentiable at 0.
D、(D)f is differentiable at 0.
13. Let
, then
=?
A、(A)
.
B、(B)
.
C、(C)
.
D、(D)
.
15. If
, find
when
.
A、(A)-7
B、(B)0
C、(C)
D、(D)
16. Suppose
is continuous on [0,2] and differentiable on (0,2),
, and
for all
. Which is the lowest possible value of
?
A、(A) 2
B、(B) 0
C、(C) 1
D、(D) None of above
17. Let
. On which of the following intervals is f decreasing?
A、(A)
.
B、(B)
.
C、(C)
.
D、(D)\( f \) is not decreasing on above intervals.
A、(A) If a is a critical point of f, then a is a local minimum point or a local maximum point of f.
B、(B)
is increasing on
.
C、(C) 0 is a local maximum point of
.
D、(D)
is constant on
.
A、(A) If
for all
, then 0 is a critical point and a local minimum point of f(x) .
B、(B) If a,b are the only two local minimum points of f, then
for all.
C、(C) If
,
, then
is a critical point and a local maximum point of f(x)
D、(D) None of above is true.
19. If f is continuous and f is decreasing on
, increasing on
, then which of the following is true?
A、(A)
for any
.
B、(B)for any
.
C、(C)f has a local minimum at x=0 .
D、(D)
.
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