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<title>Coder Legion - Recent posts tagged exact</title>
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<title>Understanding Importance Derivation</title>
<link>https://coderlegion.com/18989/understanding-importance-derivation</link>
<description>
&lt;p&gt;Hello, I'm Ganesh. I'm building &lt;em&gt;git-lrc&lt;/em&gt;, an AI code reviewer that runs on every commit. It is free, unlimited, and source-available on GitHub. &lt;a href=&quot;https://github.com/HexmosTech/git-lrc?utm_source=chatgpt.com&quot; rel=&quot;noopener noreferrer nofollow&quot;&gt;Star git-lrc on GitHub&lt;/a&gt; to help more developers discover the project. Do give it a try and share your feedback for improving the product.&lt;/p&gt;

&lt;p&gt;If you have learned differentiation in your school/college days, then most of us have learnt differentiation formula &lt;br&gt;
&lt;a rel=&quot;nofollow&quot; href=&quot;https://media2.dev.to/dynamic/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2F121soabd6e12k3he0nsy.png&quot; class=&quot;article-body-image-wrapper&quot;&gt;&lt;img src=&quot;https://media2.dev.to/dynamic/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2F121soabd6e12k3he0nsy.png&quot; alt=&quot;&quot; width=&quot;163&quot; height=&quot;61&quot;&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;But we couldn't just understand how this was actually defined. Let's just plot on a graph and see.&lt;/p&gt;

&lt;h2&gt;
  
  
  Practicality of Differentiation
&lt;/h2&gt;

&lt;p&gt;Let's take an example of velocity and acceleration.&lt;/p&gt;

&lt;p&gt;Whenever a ball is thrown in the air, it will travel in a curved path, which is also called parabolic motion.&lt;/p&gt;

&lt;p&gt;Initially, based on acceleration, the velocity will be a peak, and at the highest point it will be zero, and again it increases while coming down.&lt;/p&gt;

&lt;p&gt;This is how it looks:&lt;/p&gt;

&lt;p&gt;&lt;a rel=&quot;nofollow&quot; href=&quot;https://media2.dev.to/dynamic/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2Fjiygbt4xmy4f8b98prwk.png&quot; class=&quot;article-body-image-wrapper&quot;&gt;&lt;img src=&quot;https://media2.dev.to/dynamic/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2Fjiygbt4xmy4f8b98prwk.png&quot; alt=&quot;&quot; width=&quot;800&quot; height=&quot;600&quot;&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;Similarly, we can plot it as this.&lt;/p&gt;

&lt;p&gt;If we differentiate it, we would get a straight line in the graph, also known as a slope.&lt;/p&gt;

&lt;p&gt;&lt;a rel=&quot;nofollow&quot; href=&quot;https://media2.dev.to/dynamic/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2F1hqbolk5056yf52han8z.png&quot; class=&quot;article-body-image-wrapper&quot;&gt;&lt;img src=&quot;https://media2.dev.to/dynamic/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2F1hqbolk5056yf52han8z.png&quot; alt=&quot;&quot; width=&quot;800&quot; height=&quot;333&quot;&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;So basically from this graph we can get the exact velocity value at this specific point of acceleration.&lt;/p&gt;

&lt;p&gt;This is mainly used in physics and mechanical engineering, where we need the exact value of slope at a specific point.&lt;/p&gt;

&lt;h2&gt;
  
  
  Why it matters in neural networks?
&lt;/h2&gt;

&lt;p&gt;In a neural network, we use the chain rule to derive the weights and bias.&lt;/p&gt;

&lt;p&gt;Will talk about this in detail with proper examples.&lt;/p&gt;

&lt;p&gt;&lt;a href=&quot;https://github.com/HexmosTech/git-lrc&quot; rel=&quot;noopener noreferrer nofollow&quot;&gt;&lt;img src=&quot;https://media2.dev.to/dynamic/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2Fabn6nl3iehrohehnxgje.png&quot; alt=&quot;git-lrc&quot; width=&quot;800&quot; height=&quot;373&quot;&gt;&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;Any feedback or contributors are welcome! It&amp;rsquo;s online, source-available, and ready for anyone to use.&lt;/p&gt;

&lt;p&gt;&amp;#11088; &lt;a href=&quot;https://github.com/HexmosTech/git-lrc?utm_source=chatgpt.com&quot; rel=&quot;noopener noreferrer nofollow&quot;&gt;Star git-lrc on GitHub&lt;/a&gt;&lt;/p&gt;


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<guid isPermaLink="true">https://coderlegion.com/18989/understanding-importance-derivation</guid>
<pubDate>Fri, 29 May 2026 05:03:12 +0000</pubDate>
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