Big Picture: Derivatives
Calculus finds the relationship between the distance traveled and the speed - easy for constant speed, not so easy for changing speed. Professor Strang is finding the "rate of change" and the "slope of a curve" and the "derivative of a function."
View the complete course at: http://ocw.mit.edu/highlights-of-calc...
Chapters:
00:00 Intro
00:24 Relationship Between Functions: Speed & Distance, Height & Slope
03:40 Slope of the Great Functions of Calculus: y = x^n, y = sin x, y = e^x
08:47 Example: What does slope mean? y = x^2
25:05 Example: What does slope mean? y = sin x, dy/dx = cos x
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