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Differentiate `y=(tan x)^(logx)`

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Differentiate `y=(tan x)^(logx)`
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Best answer
`y=(tanx)^logx`
taking log both side
`logy=logxlogtanx`
Diff. both side with respect to x
`1/ydy/dx=1/xlogtanx+logx*1/tanx*secx`
`dy/dx=y[(logtanx)/x+(logxsec^2x)/tanx]`
`dy/dx=(tanx)^logx[(logtanx)/x+(logxsec^2x)/tanx]`.
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