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Differentiate (x cos x)^(x)+(x sin x)^(1...

Differentiate `(x cos x)^(x)+(x sin x)^(1/x)` w.r.t.x.

Text Solution

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The correct Answer is:
`(xcos x)^(x)[1-x tan x+log (x cos x)]+(x sin x)^(1/x)[(x cotx+1-log(x sin x))/(x^2)]`
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