using-1st-principle-find-the-derivative-of-y-x-x-

Question Number 26126 by NECx last updated on 20/Dec/17

u s i n g 1 s t p r i n c i p l e f i n d t h e

d e r i v a t i v e o f

y = x^{x}

Commented by abdo imad last updated on 20/Dec/17

a n s w e r t o q u e s t i o n e w h a v e y = e^{x l n x} - - > \frac{d y}{d x} = \frac{d (x l n (x))}{d x} . x^{x}

= (l n x + 1) x^{x} w i t h t h e c o n d i t i o n x > 0 .