Please solve the following questions with fill solution. Thanks.?
回答 (1)
2016-02-04 6:48 am
1.
f(x) = x² / lnx
f ' (x) = (2xlnx - x) / (lnx)²
Answer (B)
2.
f ' (x) = e^(2x) + x + 3
f(x) = (1/2)e^(2x) + (1/2)x² + 3x + C
f(0) = 1 = 1/2 + C
C=1/2
f(x) = (1/2)e^(2x) + (1/2)x² + 3x + 1/2
f(1) = (1/2)e^(2) + (1/2)1 + 3 + 1/2
Answer (B)
3.
f(x) = xcosx
f ' (x) = cosx -xsinx
f ' (π/3) = 1/2 - (π/3)(√3/2)
Answer (E)
f(x) = x² / lnx
f ' (x) = (2xlnx - x) / (lnx)²
Answer (B)
2.
f ' (x) = e^(2x) + x + 3
f(x) = (1/2)e^(2x) + (1/2)x² + 3x + C
f(0) = 1 = 1/2 + C
C=1/2
f(x) = (1/2)e^(2x) + (1/2)x² + 3x + 1/2
f(1) = (1/2)e^(2) + (1/2)1 + 3 + 1/2
Answer (B)
3.
f(x) = xcosx
f ' (x) = cosx -xsinx
f ' (π/3) = 1/2 - (π/3)(√3/2)
Answer (E)
收錄日期: 2021-04-18 14:26:07
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