Hi
I need to find the derivative of the following
y=(4sqrtx)^lnx
Ummmm, so I'm not really sure how to type that. It is the ("forth root" of x) to the power of (lnx).
I thought that maybe you could change it to
y=x^(.25lnx)
lny=ln.25lnxlnx
lny=ln.25(lnx)^2
(1/y)(y')=f'g+fg'
(1/y)(y')=(0(lnx))+(ln.25)(2(lnx)(1/x))
y'=[(2(ln.25)(lnx))/x]((4sqrtx)^lnx)
Is this assumption incorrect?