y是2次復合
y=u^2
u=sinv
v=3x+π/4
y'=2u*u'*v'
∴y'=2sin(3x+π/4)*cos(3x+π/4)*(3x+π/4)'
=2sin(3x+π/4)*cos(3x+π/4)*3
=3*2sin(3x+π/4)cos(3x+π/4).
=3sin(6x+π/2).正弦二倍角公式
=3cos6x
求y=[sin^2(3x+π/4)]的導數(shù),
求y=[sin^2(3x+π/4)]的導數(shù),
數(shù)學人氣:789 ℃時間:2019-11-04 09:03:05
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