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Daily Math Minute

Mathematics

Derivatives

The definition of the derivative and basic differentiation rules.

The Derivative

Advanced20 min
  • Define the derivative as a limit of a difference quotient
  • Interpret the derivative as an instantaneous rate of change
1

The Difference Quotient

Defining the derivative as the limit of the difference quotient.

20 min

2

Interpreting the Derivative

Interpreting the derivative as a slope and an instantaneous rate of change.

20 min

Differentiation Rules

Advanced20 min
  • Apply the power, product, and quotient rules
  • Apply the chain rule to composite functions
1

Power, Product & Quotient Rules

Differentiating using the power, product, and quotient rules.

20 min

2

The Chain Rule

Differentiating composite functions using the chain rule.

20 min