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But what does it mean verbally in terms of rate of change? There are 2 ways to understand your question, one is asking for a proof, the other is asking for intuitive reasoning, I will answer both here. What does the derivative represent? The slope of the tangent line. Looking at different values of the absolute value function in some plots:.
If a function is differentiable, it will look like a straight line when you zoom in far enough. Sign up to join this community. The best answers are voted up and rise to the top. Stack Overflow for Teams — Collaborate and share knowledge with a private group.
Create a free Team What is Teams? Learn more. Ask Question. Asked 7 years ago. Active 11 months ago. Show 3 more comments. Active Oldest Votes. Now I am able to understand the rational behind this. Add a comment. It definitely helps a lot in understanding. Matthew Leingang Matthew Leingang Sonnhard Graubner Dr. Sonnhard Graubner 1. Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password.
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