
求高等数学题答案,急!!!
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1(1) y = (1+x+x^2)^4, dy = 4(1+x+x^2)^3 (1+2x) dx.
(4) y = ln(3x+1) , dy = 3dx/(3x+1)
3(1) x→ 0 时,y = ln(1+x) ≈ x
ln1.03 = ln(1+0.03) ≈ 0.03
(2) x→ 0 时,y = (1+x)^(1/3) ≈ 1+x/3,
1.02^(1/3) ≈ 1+0.02/3 ≈ 1.0067
(4) y = ln(3x+1) , dy = 3dx/(3x+1)
3(1) x→ 0 时,y = ln(1+x) ≈ x
ln1.03 = ln(1+0.03) ≈ 0.03
(2) x→ 0 时,y = (1+x)^(1/3) ≈ 1+x/3,
1.02^(1/3) ≈ 1+0.02/3 ≈ 1.0067
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