y=e^[tan(1/x)] 求导数

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y=e^[tan(1/x)] 求导数
y=e^[tan(1/x)] 求导数

y=e^[tan(1/x)] 求导数
y'=e^[tan(1/x)]*[tan(1/x)]'
=e^[tan(1/x)]*[sec(1/x)]^2*(1/x)'
=-{e^[tan(1/x)]*[sec(1/x)]^2}/x^2

y'=e^[tan(1/x)]*[tan(1/x)]'=e^[tan(1/x)]*[sec(1/x)]^2*(1/x)'=-{e^[tan(1/x)]*[sec(1/x)]^2}/x^2

y=e^[tan(1/x)]
y'=e^[tan(1/x)]*[tan(1/x)]'
=e^[tan(1/x)]*[sec(1/x)]^2*(1/x)'
=e^[tan(1/x)*[sec(1/x)]^2*(-1/x^2)

y=(e^tan(1/x))'
=e^tan(1/x)*[tan(1/x)]'
=e^tan(1/x)*{1/[(cos(1/x))^2]}*(1/x)'
=e^tan(1/x)*{1/[(cos(1/x))^2]}*(-1/x^2)'

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