Neural nets: How should one tweak the input slightly to increase the output?

Here is a good example of how an idea expressed with too abstract a manner confuses me, while presenting it in a visual manner makes it easy. Here is an early point in understanding what neural nets do, which I read elsewhere several times before seeing it here in a way that makes it easy.

Click on the image below to go to the original web page, Hacker's guide to Neural Networks, which is a lot easier for me to understand than the similar material in chapter 1 of the Neural Networks and Deep Learning book I mentioned earlier.

 

   

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