Here is a step-by-step guide that shows you how to take the derivative of the Cross Entropy function for Neural Networks and then shows you how to use that derivative for Backpropagation. NOTE: This StatQuest assumes that you are already familiar with... The main ideas behind neural networks: https://www.youtube.com/watch?v=CqOfi41LfDw The main ideas behind backpropagation: https://www.youtube.com/watch?v=IN2XmBhILt4 Neural networks with multiple inputs and outputs: https://www.youtube.com/watch?v=aObJUevCVDc ArgMax and SoftMax: https://www.youtube.com/watch?v=KpKog-L9veg Cross Entropy: https://www.youtube.com/watch?v=6ArSys5qHAU For a complete index of all the StatQuest videos, check out: https://statquest.org/video-index/ If you'd like to support StatQuest, please consider... Buying my book, The StatQuest Illustrated Guide to Machine Learning: PDF - https://statquest.gumroad.com/l/wvtmc Paperback - https://www.amazon.com/dp/B09ZCKR4H6 Kindle eBook - https://www.amazon.com/dp/B09ZG79HXC Patreon: https://www.patreon.com/statquest ...or... YouTube Membership: null ...a cool StatQuest t-shirt or sweatshirt: null ...buying one or two of my songs (or go large and get a whole album!) https://joshuastarmer.bandcamp.com/ ...or just donating to StatQuest! https://www.paypal.me/statquest Lastly, if you want to keep up with me as I research and create new StatQuests, follow me on twitter: https://twitter.com/joshuastarmer 0:00 Awesome song and introduction 5:47 dCE_setosa with respect to b3 11:19 dCE_virginica with respect to b3 15:03 Other derivatives 16:09 Backpropagation with cross entropy #StatQuest #NeuralNetworks #CrossEntropy