高等数学题
y=(cosx²)(sin1/x²)求dy
y=cosx²sin(1/x²)
dy=d[cosx²sin(1/x²)]
=(dcosx²)sin(1/x²)+cosx²dsin(1/x²)
=(-sinx²dx²)sin(1/x²)+cosx²cos(1/x²)d(1/x²)
=[-2xsinx²sin(1/x²)-(2/x³)cosx²cos(1/x²)]dx
先求导,再乘dx
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y=(cosx²)(sin1/x²)求dy
y=cosx²sin(1/x²)
dy=d[cosx²sin(1/x²)]
=(dcosx²)sin(1/x²)+cosx²dsin(1/x²)
=(-sinx²dx²)sin(1/x²)+cosx²cos(1/x²)d(1/x²)
=[-2xsinx²sin(1/x²)-(2/x³)cosx²cos(1/x²)]dx
先求导,再乘dx