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ExploreCalculusContextual applications of differentiation

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Calculus

Contextual applications of differentiation

  • Interpreting the meaning of the derivative in context
  • Straight-line motion: connecting position, velocity, and acceleration
  • Rates of change in other applied contexts (non-motion problems)
  • Introduction to related rates
  • Solving related rates problems
  • Approximating values of a function using local linearity and linearization
  • Using L’Hôpital’s rule for finding limits of indeterminate forms

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Calculus · series session

Contextual applications of differentiation

Today we will learn all sorts of derivative applications. What shape container minimizes surface area for a set volume? How do we maximize profit? Minimize costs? These are all things we will cover today. We'll also learn how to analyze functions with their derivatives. When is a function concave up? How about concave down? Increasing or decreasing? These are all things we'll cover today.

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