挑战习题
1/3单选题
难度:

1.

函数ƒ (x)=x2+4x3 在区间上的最大值和最小值分别是(    )


A

1,0

B

3,—6

C

1,—8

D

1,—24

提示1:
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
提示2:
PHA+PGltZyBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzJFL0IxL3JCQUNKMVNnOFFYUndkUkRBQUFCaV84RXdEYzE1MS5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMkUvQjEvckJBQ0oxU2c4UVhSd2RSREFBQUJpXzhFd0RjMTUxLnBuZyIgaGVpZ2h0PSIyMSIgd2lkdGg9IjI4Ij7lnKjljLrpl7Q8aW1nIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNjIvNzEvckJBQ0UxU2c4UVhpdEtWSUFBQUJkWW9DdFc4MjUxLnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC82Mi83MS9yQkFDRTFTZzhRWGl0S1ZJQUFBQmRZb0N0VzgyNTEucG5nIiBoZWlnaHQ9IjIxIiB3aWR0aD0iNTAiPuS4iuWNleiwg+mAkuWinu+8jOWcqOWMuumXtDxpbWcgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC8yRS9CMS9yQkFDSjFTZzhRV2phUFYzQUFBQmZjUV9Gc0U1NzcucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzJFL0IxL3JCQUNKMVNnOFFXamFQVjNBQUFCZmNRX0ZzRTU3Ny5wbmciIGhlaWdodD0iMjEiIHdpZHRoPSIzOSI+5LiK5Y2V6LCD6YCS5YePPC9wPg==
提示3:
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
正确答案:Qw==
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