题目

f(x)=2sin(2x+π/6).当x∈[0,π/12]求fx最值

提问时间：2021-11-03

答案

x∈[0,π/12]
那么2x+π/6∈[π/6,π/3]
令2x+π/6=t∈[π/6,π/3]
f(x)=2sin(2x+π/6)=2sint
函数2sint,t∈[π/6,π/3]
当t=π/6,最小值为1
当t=π/3,最大值为根号3