1.

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

Answer»

SOLUTION :`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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