What Happens When You Actually Visualise a Derivative?

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Derivative definition, calculus, and derivatives for beginners — in this video, I explain what a derivative really means, by building up simple intuition. Starting from functions, all the way to tangents and limits. Instead of learning formulas, we'll see exactly how to formulate a derivative, and a beautiful example at the end.

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0:00 What is calculus?
0:23 Functions and graphs
3:46 Slope and rate of change
5:56 What is a derivative?
12:21 Derivative from first principles

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Credits:
Written, filmed and edited by Ellie Sleightholm
Animated by Ellie Sleightholm using the manim package: https://www.manim.community/

Music from Epidemic Sound

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#mathematics #maths #math #calculus #derivative #slope #tangent #derivatives

Subscribers: 143,000This video breaks down the concept of derivatives in mathematics, beginning with the fundamental definition and building intuition through practical examples. We'll explore how derivatives represent the rate of change using various functions and demonstrate the process of calculating derivatives using limits and algebraic simplification. Understanding differentiation is key to grasping these core math concepts.

Видео What Happens When You Actually Visualise a Derivative? канала Ellie Sleightholm