1. ## logarithmic differentiation

This is an easy question. Doing logarithmic differentiation, heres the problem:

How do they get from y'=y(7/2 + 7/2 ln x) to the next step? I got everything else.

2. Originally Posted by Evan.Kimia
This is an easy question. Doing logarithmic differentiation, heres the problem:

How do they get from y'=y(7/2 + 7/2 ln x) to the next step? I got everything else.
I'm afraid your image isn't working.

4. Well first of, they moved $\frac{7}{2}$ out of the brackets, like so:
$y'=y\frac{7}{2}(1+ln(x))$
And then replaced $y$, with $(\sqrt{x})^{7x}$, because they said that $y=(\sqrt{x})^{7x}$ in the beginning.