25/06/27 00:29:42.24 gV5JhOfz.net
g(s, t) = s^tとおく
f(x) = g(x, x)なので、チェインルールより
f'(x) = ∂s/∂x ∂g/∂s + ∂t/∂x ∂g/∂t
= ts^(t - 1) + log(s) s^t
= x^x + log(x) x^x
= (1 + log(x)) x^x
25/06/27 00:29:42.24 gV5JhOfz.net
g(s, t) = s^tとおく
f(x) = g(x, x)なので、チェインルールより
f'(x) = ∂s/∂x ∂g/∂s + ∂t/∂x ∂g/∂t
= ts^(t - 1) + log(s) s^t
= x^x + log(x) x^x
= (1 + log(x)) x^x