∵f'(x)=(1-sina)(3x^2-4x+1)
=3(1-sina)[x^2-(4x/3)+(1/3)]
=3(1-sina)[(x-2/3)^2-(1/9)]
f'(2/3)=-(1-sina)/3
∵a∈(0,π/2)
∴1-sina>0
∴f'(2/3)
求證函數(shù)f(x)=(1-sina)(x3-2x2+x2+6),a屬于(0,π/2)在區(qū)間(2/3,8/9)單調(diào)遞減
求證函數(shù)f(x)=(1-sina)(x3-2x2+x2+6),a屬于(0,π/2)在區(qū)間(2/3,8/9)單調(diào)遞減
數(shù)學(xué)人氣:881 ℃時間:2020-07-03 04:56:39
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