x2sin1/x的导数
回答
爱扬教育
2022-06-07
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y' = x^2 cos(1/x) . ( -1/x^2) + 2xsin(1/x)
= -cos(1/x) +2xsin(1/x)
扩展资料
(uv)' = uv' + vu' y =x^2 sin(1/x) = x^2 [ sin(1/x) ] ' + sin(1/x) . (x^2)' = x^2 (cos(1/x) ) . (1/x)' + sin(1/x) . (2x) = x^2 (cos(1/x) ) .(-1/x^2) + 2xsin(1/x) = -cos(1/x) + 2xsin(1/x)