Y=tanX/X
prove x dy/dx +y=1+X^ Y^2
please show step ,plz
thanks
And y=tan^2 x
show steps plz
a maths help急要
2008-05-04 3:22 am
回答 (1)
2008-05-04 5:00 am
✔ 最佳答案
1.)y = tanx/x
xy = tanx
d(xy)/dx = d(tanx)/dx
xdy/dx + y = sec^2 x
xdy/dx + y = 1 + tan^2 x
xdy/dx + y = 1 + [x(tanx/x)]^2
xdy/dx + y = 1 + (x^2)(y^2)
2.)
其實呢題唔知你想問乜
咁唯有D左佢啦=.=...再加多幾步
y=tan^2 x
dy/dx
= 2tanx sec^2 x
= 2tanx(1+tan^2 x)
= 2(√y)(1+y)
參考: me
收錄日期: 2021-04-13 15:31:16
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20080503000051KK02479