Let f(x) = ( x^x )^x and g(x) = x^ ( x^x ) then : - Vidyadip

MCQ

Let $f(x) ={\left( {{x^x}} \right)^x}$ and $g(x) ={x^{\left( {{x^x}} \right)}}$ then :

A
$f ‘ (1) = 1$ and $g ‘ (1) = 2$
B
$f ‘ (1) = 2$ and $g ‘ (1) = 1$
C
$f ‘ (1) = 1$ and $g ‘ (1) = 0$
✓
$f ‘ (1) = 1$ and $g ‘ (1) = 1$

✓

Answer

Correct option: D.

$f ‘ (1) = 1$ and $g ‘ (1) = 1$

d

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