ln(tanx/2)的导函数求过程
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ln(tanx/2)的导函数求过程
![ln(tanx/2)的导函数求过程](/uploads/image/z/17860649-41-9.jpg?t=ln%EF%BC%88tanx%2F2%EF%BC%89%E7%9A%84%E5%AF%BC%E5%87%BD%E6%95%B0%E6%B1%82%E8%BF%87%E7%A8%8B)
y= ln(tan(x/2))
y' = [1/tan(x/2)].[tan(x/2)]'
= [1/tan(x/2)].(sec(x/2))^2 .(x/2)'
= (1/2)[cot(x/2)]^2
再问: =cscx一样吗
再答: y= cscx
y' = -cscx cotx 不一样
再问: (1/2)[cot(x/2)]^2不等于cscx吧 这道题答案是cscx我不会,求解
再答: 我错了
y= ln(tan(x/2))
y' = [1/tan(x/2)]. [tan(x/2)]'
= [1/tan(x/2)]. (sec(x/2))^2 . (x/2)'
= 1/[2sin(x/2)cos(x/2)]
=1/sinx
= cscx
y' = [1/tan(x/2)].[tan(x/2)]'
= [1/tan(x/2)].(sec(x/2))^2 .(x/2)'
= (1/2)[cot(x/2)]^2
再问: =cscx一样吗
再答: y= cscx
y' = -cscx cotx 不一样
再问: (1/2)[cot(x/2)]^2不等于cscx吧 这道题答案是cscx我不会,求解
再答: 我错了
y= ln(tan(x/2))
y' = [1/tan(x/2)]. [tan(x/2)]'
= [1/tan(x/2)]. (sec(x/2))^2 . (x/2)'
= 1/[2sin(x/2)cos(x/2)]
=1/sinx
= cscx