Unit 2 · Differentiation: Definition and Fundamental Properties

Chapter 2.1

Defining the Derivative

The limit machinery, aimed back at the instant-speed paradox that opened the course — and closing it.

12–16 min · free · lesson 9 of 46

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By the end

  1. 01Compute average rates of change over an interval
  2. 02Define the derivative as a limit, in both standard forms
  3. 03Use derivative notation and compute a derivative at a point from the definition

In unit 2

  1. 2.1Defining the Derivative12–16
  2. 2.2When Derivatives Exist — and When They Don't10–14
  3. 2.3The First Derivative Rules10–14
  4. 2.4The Derivatives Nature Chose: sin, cos, eˣ, ln11–15
  5. 2.5Products, Quotients, and the Rest of Trig12–16
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