y=cox² sin²×1/x
2017-04-05
展开全部
y=x²sin(1/x²)
=(x²)'·sin(1/x²)+x²·[sin(1/x²)]'
=2x·sin(1/x²)+x²·cos(1/x²)·(1/x²)'
=2x·sin(1/x²)+x²·cos(1/x²)·(-2)·(1/x³)
=2x·sin(1/x²)-(2/x)·cos(1/x²)
=(x²)'·sin(1/x²)+x²·[sin(1/x²)]'
=2x·sin(1/x²)+x²·cos(1/x²)·(1/x²)'
=2x·sin(1/x²)+x²·cos(1/x²)·(-2)·(1/x³)
=2x·sin(1/x²)-(2/x)·cos(1/x²)
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