复合函数y=x^2sin(1/x^2)(x不等于零)和y=0(x=0)是否可导?

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复合函数y=x^2sin(1/x^2)(x不等于零)和y=0(x=0)是否可导?
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复合函数y=x^2sin(1/x^2)(x不等于零)和y=0(x=0)是否可导?
复合函数y=x^2sin(1/x^2)(x不等于零)和y=0(x=0)是否可导?

复合函数y=x^2sin(1/x^2)(x不等于零)和y=0(x=0)是否可导?
x>0时,y'=2xsin(1/x^2)+x^2cos(1/x^2)*(-2/x^3)=2xsin(1/x^2)-2/x*cos(1/x^2)
x->0+时,上式没极限,所以在x=0不可导.