Question

Let f(x)=x^2x

Use logarithmic differentiation to determine the derivative ƒ'(x) ?

Answer 1

lake log on both sides,

log y = 2x log x

use implicit differentiation
your answer will be (2logx+2)x^2x

Answer 2

THANKS A LOT! GNITE!!

Answer 3

DO I HAVE TO TAKE THE DERIVative also?

Answer 4

yes ,,, dy/dx*1/y = (2logx+2)

or dy/dx = y (2logx+2)
y = x^2x
or dy/dx = x^2x(2logx+2)

Answer 5

hmmm

Answer 6

x^2 x (2 log(x)+2) ??

Answer 7

x^( 2x) * (2 log(x)+2)

Answer 8

thanks!!

Answer 9

there is a formula for such types of differentiation also,it goes as
d/dx(u^v)= u^v*d/dx(v*log u)
apply it here and see what you get???