Question

find dy/dx of the (8th root of t)^t
(t^(1/8))^t

Answer 1

i keep getting ((t*(1/8)t^(-7/8))/(t^1/8))* y

Answer 2

does anyone know how to do this?

Answer 3

\[ \frac{d}{dt} t^{t/8} = {t}^{1/8\,t} \left( 1/8\,\ln \left( t \right) +1/8 \right) \]