" (i) "(log x)^(x)+x^(log x)[" NCERT "]" (ii) "x

(log x)^(log x),x gt1

(log x)^(log x),x gt1

(1)/(x log x log (log x ))

y = (log x) ^ ((log x) ^ (log x) .... oo)

If y=( log x )^(x) -x^(log x) ,then (dy)/(dx)=

State, true or false : (i) log 1 xx log 1000 = 0 (ii) (log x)/(log y) = log x - log y (iii) If (log 25)/(log 5) = log x , then x = 2 (iv) log x xx log y = log x + log y

The derivative of (log x) ^(x) w.r.t x is (log x)^(x-1) [1+ log x log (log x)] R : (d)/(dx) {f (x) ^(g(x))[g (x) (f'(x))/(f (x)) + g'(x) log (f(x) ]

Differentiate: (log x)^(x)+x^(log x) with respect to x:

Differentiate: (log x)^(x)+x^(log x) with respect to x.