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y = (2x-1)²(x+1)³
lny = 2ln(2x-1)+3ln(x+1)
1/y*y′ = 2/(2x-1)*2+3/(x+1) = 4/(2x-1)+3/(x+1)
y′ = y * {4/(2x-1)+3/(x+1)}
= (2x-1)²(x+1)³ * {4/(2x-1)+3/(x+1)}
= (2x-1)(x+1)²{4(x+1)+3(2x-1)}
= (2x-1)(x+1)²(10x+1)
x=-1/10时，极大值 = (-1/5-1)²(-1/10+1)³ = (6/5)²*(9/10)³ = 8478/25000 = 2187/6250
x=1/2时，极小值= 0
lny = 2ln(2x-1)+3ln(x+1)
1/y*y′ = 2/(2x-1)*2+3/(x+1) = 4/(2x-1)+3/(x+1)
y′ = y * {4/(2x-1)+3/(x+1)}
= (2x-1)²(x+1)³ * {4/(2x-1)+3/(x+1)}
= (2x-1)(x+1)²{4(x+1)+3(2x-1)}
= (2x-1)(x+1)²(10x+1)
x=-1/10时，极大值 = (-1/5-1)²(-1/10+1)³ = (6/5)²*(9/10)³ = 8478/25000 = 2187/6250
x=1/2时，极小值= 0
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