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Daily Math Minute

Mathematics

Unit 2: Differentiation — Definition & Fundamental Properties

The definition of the derivative and basic differentiation rules.

Defining the Derivative

Advanced25 min
  • Define the derivative using the limit of a difference quotient
  • Connect differentiability and continuity
1

The Difference Quotient

Defining the derivative as the limit of a difference quotient.

25 min

2

Differentiability & Continuity

Relating differentiability to continuity and identifying where a function fails to be differentiable.

25 min

Basic Differentiation Rules

Advanced25 min
  • Apply the power, sum, product, and quotient rules
1

Power & Sum Rules

Differentiating using the power rule and sum/difference rules.

25 min

2

Product & Quotient Rules

Differentiating using the product rule and quotient rule.

25 min