Question Number 2006 by Rasheed Soomro last updated on 29/Oct/15

Determine (i) (d/dx)(x^x ) (ii) ∫x^x dx

Answered by 123456 last updated on 29/Oct/15

y=x^x ⇒(dy/dx)=x^x (1+ln x) ln y=xln x ((y′)/y)=ln x+1 (dy/dx)=y(1+ln x)=x^x (1+ln x)