Question

f(x)=1/2+sin(4x/3+π/6)在[-π,π]上的单调性

Answer 1

x∈【-π,π】时

4x/3+π/6∈[-7π/6,3π/2]

1、当4x/3+π/6∈[-7π/6,-π/2]时

即x∈[-π,-π/2]时

f(x)单减

2、当4x/3+π/6∈[-π/2,3π/2]时

即x∈[-π/2,4π/3]时

f(x)单增