निम्नलिखित फलनों का x के सापेक्ष अवकलन कीजिए-
`e^(x)logsqrtxtanx`

Explanation

`d/(dx)(e^(x)logsqrtxtanx)`
`=d/(dx)[e^(x)xx1/2logxtanx]`
`=1/2d/(dx)(e^(x)logxtanx)`
`=1/2[e^(x)d/(dx)(logxtanx)+logxtanxd/(dx)(e^(x)]`
`=1/2[e^(x){logxd/(dx)(tanx)+tanxd/(dx)(logx)}+logxtanxe^(x)]`
`=1/2[e^(x){logx.sec^(2)x+tanx.1/x}+logxtanxe^(x)]`
`=(e^(x))/2[logxsec^(2)x+(tanx)/x+logxtanx]`