admin百科知識 2022-02-12 22:23:22 函數f(x)=sinx-3^(12)cosx(x屬於[-派,0]的單調增區間是?函數f(x)=sinx-3^(1/2)cosx(x屬於[-派,0]的單調增區間是?網友廻答:匿名網友f(x)=sinx-√3cosx=2[(1/2)sinx-(√3/2)cosx]=2[sinxcos(π/3)-cosxsin(π/3)]=2sin(x-π/3)令-π/2 2kπ≤x-π/3≤π/2 2kπ.k∈Z即-π/6 2kπ≤x≤5π/6 2kπ.k∈Z又因爲x∈[-π,0]令k=0可得遞增區間爲[-π/6,0] db標簽 生活常識_百科知識_各類知識大全»函數f(x)=sinx-3^(12)cosx(x屬於[-派,0]的單調增區間是?
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