If $f(x) = x^{2 x}$, what is $f'\left(1\right)$?

Explanation

1. 01

   $\log y = 2x\log x$, so $\frac{y'}{y} = 2\log x + 2$.

2. 02

   At 1: $y = 1$ and $y' = 1 \times 2 = 2$.