The latest articles on DEV Community by saadibraheem621-create (@saadibraheem621create). https://dev.to/saadibraheem621create https://media2.dev.to/dynamic/image/width=90,height=90,fit=cover,gravity=auto,format=auto/https:%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Fuser%2Fprofile_image%2F3924805%2Fbbc9a21b-9dcd-40ae-b1df-5a13e2445213.png https://dev.to/saadibraheem621create en saadibraheem621-create Mon, 11 May 2026 11:09:45 +0000 https://dev.to/saadibraheem621create/the-mathematical-relationship-between-linear-equations-derivatives-and-ai-5090 https://dev.to/saadibraheem621create/the-mathematical-relationship-between-linear-equations-derivatives-and-ai-5090 <p>Most people see y = mx + c as just a simple linear equation.</p> <p>But inside machine learning and neural networks, this equation becomes the foundation of prediction, learning, and optimization.</p> <p>In this article, I’ll explain how linear equations relate to derivatives, integration, and AI systems.<br> 1) Linear Equation<br> y = mx + c</p> <p>2) Derivative<br> dy/dx = m</p> <p>3) Integration<br> ∫ m dx = mx + c</p> <p>4) Neural Network Neuron<br> z = wx + b</p> <p>5) Weight Update<br> w = w - η(dL/dw)</p> ai machinelearning neuralnetworks