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Find derivatives of the following functi...

Find derivatives of the following function.
`(logx)^(tanx)`

Text Solution

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`y=(logx)^(tanx)`
`rArrlog y=tanxcdotlog(logx)`
`rArr1/ydy/dx=sec^2xlog(logx)+tanxcdot1/(logx)cdot1/x`
`rArr dy/dx=(logx)^(tanx){sec^2xcdotloglogx+tanx/(xlogx)}`
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