The derivative using logarithmic differentiation. Is this correct?

[dylanhouse]

1. Homework Statement [/b]

Find the derivative of the given function.

Homework Equations

Chain rule and logarithmic differentiation.

The Attempt at a Solution

See attached .gif. I was just wondering if this seemed correct? Thanks!

 

[STEMucator]

You made a small mistake going from the 5th to the 6th line. ln(e) = ?

 

[dylanhouse]

ln(e) = 1. I replaced it in the 7th line.

 

[STEMucator]

ln(e) = 1. I replaced it in the 7th line.

I mean, xln(e) = x(1) = x right?

$\frac{d}{dx} (x) = 1$

 

[Dick]

It looks fine to me as it is.