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If y=(tanx)^(sinx), then dy/dx=...

If `y=(tanx)^(sinx)`, then `dy/dx=`

A

`(tanx)^(cosx)[sinlogtan(pi/4-x/2)]`

B

`(tanx)^(cosx)[sinlogtan(pi/4+x/2)]`

C

`(tanx)^(sinx)[cosx*log(tanx)-secx]`

D

`(tanx)^(sinx)[cosx*log(tanx)+secx]`.

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