You've Been Thinking About Derivatives Wrong

So everyone says a derivative is "the slope of the tangent line." Cool. But that's not really what it is. In this one we just zoom in on a curve till it turns into a straight line — and somehow that one trick explains everything: the scary limit formula, why dy/dx actually is a fraction, where the chain rule even comes from. No memorizing. Just a picture that finally makes it make sense. Chapters: 0:00 What a derivative actually is 0:27 Zoom in on a curve 1:18 Local linearity 1:49 Why the line is so useful 2:44 Finding the slope 4:01 Is dy/dx really a fraction? 5:01 The chain rule 5:44 One picture that explains it all 6:04 Outro #calculus #maths #derivatives