Please solve the following questions with fill solution. Thanks.?
回答 (1)
2016-02-04 6:42 am
1.
f(x) = x^(ln2)
f ' (x) = (ln2)x^(ln2 - 1)
Answer (C)
2.
lim (h -> 0) (2^(3+h) - 8) / h
= lim (h -> 0) (8*2^h - 8) / h
= lim (h -> 0) (8*2^x(ln2)) / 1
= 8ln2
Answer (E)
3.
f(x) = ln(lnx)
f ' (x) = (1/x) / ln(x)
= 1 / (xlnx)
f ' (e²) = 1 / (e²lne²)
= 1 / (2e²)
Answer (C)
f(x) = x^(ln2)
f ' (x) = (ln2)x^(ln2 - 1)
Answer (C)
2.
lim (h -> 0) (2^(3+h) - 8) / h
= lim (h -> 0) (8*2^h - 8) / h
= lim (h -> 0) (8*2^x(ln2)) / 1
= 8ln2
Answer (E)
3.
f(x) = ln(lnx)
f ' (x) = (1/x) / ln(x)
= 1 / (xlnx)
f ' (e²) = 1 / (e²lne²)
= 1 / (2e²)
Answer (C)
收錄日期: 2021-04-18 14:26:34
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