(sin(x-1)/cos(x-1))^2.求导!

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(sin(x-1)/cos(x-1))^2.求导!
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(sin(x-1)/cos(x-1))^2.求导!
(sin(x-1)/cos(x-1))^2.求导!

(sin(x-1)/cos(x-1))^2.求导!
[sin(x-1)/cos(x-1)]²=tan²(x-1)
所以原式=2tan(x-1)×sec²(x-1)×1
=2tan(x-1)sec²(x-1)


[sin(x-1)/cos(x-1)]^2
{[sin(x-1)/cos(x-1)]^2}'
=2[sin(x-1)/cos(x-1)]{[cos(x-1)]^2+[sin(x-1)]^2}/{[cos(x-1)]^2}
=2sin(x-1)/{[cos(x-1)]^3}
=2tan(x-1)/{[cos(x-1)]^2}
=2tan(x-1)[sec(x-1)]^2

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