निम्नलिखित फलनों का x के सापेक्ष अवकलन कीजिए-
`(xtanx)/(secx+tanx)`

Explanation

`d/(dx)[(xtanx)/(secx+tanx)]`
`((secx+tanx)d/(dx)(xtanx)-(xtanx)d/(dx)(secx+tanx))/((secx+tanx)^(2))`
`((secx+tanx)[xd/(dx)(tanx)+tanxd/(dx)(x)]-(xtanx)[d/(dx)(secx)+d/(dx)(tanx)])/((secx+tanx)^(2))`
`((secx+tanx)(xsec^(2)x+tanx)-(xtanx)(secxtanx+sec^(2)x))/((secx+tanx)^(2))`
`((secx+tanx)(xsec^(2)x+tanx)-xtanxsecx(tanx+secx))/((secx+tanx)^(2))`
`((secx+tanx)[xsec^(2)x+tanx-xtanxsecx])/((secx+tanx)^(2))`
`(xsec^(2)x+tanx-xtanxsecx)/((secx+tanx))`