Unit 2 · Differentiation: Definition and Fundamental Properties

Chapter 2.5

Products, Quotients, and the Rest of Trig

(fg)′ is not f′g′ — a growing rectangle shows what really happens when two changing quantities multiply.

12–16 min · free · lesson 13 of 46

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By the end

  1. 01Apply the product rule with a visual justification
  2. 02Apply the quotient rule
  3. 03Derive the derivatives of tan, cot, sec, and csc from the quotient rule

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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