Doubt of a simple derivation in the Ramsey Model of Growth.

Dec 2019
6
0
Colombia
Greetings. I hope this post finds everyone good.

I'm having a hard time trying to understand a derivation in general form. the context of the problem is given ahead in the image.

1581455606248.png

Thank you for your time, I believe the key is on that derivate. But if my analysis is wrong, please, help me to correct it.
 
Dec 2019
6
0
Colombia
Greetings, it's me again, I have found the answer, there was a little trick in the algebra to get to this result, i'm posting the answer here.

1.jpg