题目内容
.函数f(x)=sin2(2x+
)的导数是( )
(A)f′(x)=2sin(2x+
) (B)f′(x)=4sin(2x+
)
(C)f′(x)=sin(4x+
) (D)f′(x)=2sin(4x+
)
D解析:由于f(x)=sin2(2x+
)
=![]()
=
-
cos(4x+
),
∴f′(x)=4×
sin(4x+
)=2sin(4x+
),
故选D.
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题目内容
.函数f(x)=sin2(2x+
)的导数是( )
(A)f′(x)=2sin(2x+
) (B)f′(x)=4sin(2x+
)
(C)f′(x)=sin(4x+
) (D)f′(x)=2sin(4x+
)
D解析:由于f(x)=sin2(2x+
)
=![]()
=
-
cos(4x+
),
∴f′(x)=4×
sin(4x+
)=2sin(4x+
),
故选D.