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Find (dy)/(dx), if y=(sinx)^(x)+(tan^(-1...

Find `(dy)/(dx)`, if `y=(sinx)^(x)+(tan^(-1)x)^(logx)`

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Verified by Experts

The correct Answer is:
`:.(dy)/(dx)=(sinx)^(x)[logsinx+xcotx]+(tan^(-1)x)^(logx)[(logtan^(-1)x)/(x)+(logx)/((tan^(-1)x)(1+x^(2)))]`
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