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If `y=x^(x)`, what is `(dy)/(dx)` at x = 1 equal to? |
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Answer» Correct Answer - B Let `y = x^(x)` Take log on both the sides `rArr lny = x . Lny` `rArr (1)/(y).(dy)/(dx)=1 + ln x rArr (1)/(y).(dy)/(dx) = lne + lnx` `rArr (dy)/(dx)=y^(lnex=)=(x^(x))lnex` `(dy)/(dx)|_(x=1)=1. lne = 1` |
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