1.

If `y=(x^x)^x` then `(dy)/(dx)` isA. `(x^(x))^(x)(1+2logx)`B. `(x^(x))^(x)(1+logx)`C. `x(x^(x))^(x)(1+2logx)`D. `x(x^(x))^(x)(1+logx)`

Answer» Correct Answer - C
`y=(x^(x))^(x)implieslog_(e)y=xlog_(e)(x^(x))(x)=x^(2)log_(e)x`
`implies1/y (dy)/(dx)=x+2x log_(e)x`
`:.(dy)/(dx)=x(x^(x))^(x)(1+2log_(e)x)`


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