Quick and Dirty Logarithmic Derivative - Daily Problem 30

I got a lot of comments about a more widely applicable (and test friendly) method to solve these types of derivatives after Daily Problem 19, so I made this video as an example of what you can do with Logarithmic Differentiation. Let me know if you have any questions, requests or alternative approaches to this problem.

[XahhaTheCrimson]

This guy introduces and solves so much better and interesting problems more than most of the click-baitish sponsored math channels.

[NaN_]

This is my favorite trick I always use this whenever some function raised to another function

[thesnackbandit]

Nice and clear. This is a little gem of a series.

[NicolasCloutier-ux]

Great, underrated channel. Thanks for this

[thentoxd]

I don’t think this is correct - when plotting out your final answer on a computer 2D plotter, you can see that the gradient isn’t correct for values of x less than 0.6. My final answer that I’ve checked in turn with the 3D plotter is dy/dx = (x^e^x) * (e^x) * (ln(x) + 1/x)