Derivatives

Instantaneous rate of change: from slopes of secants to the rules that make differentiation mechanical. Prerequisite: Functions and limits.

7 lessons planned · none written yet

  1. 1From average to instantaneous speedNot written yetThe derivative as the limit of secant slopes.
  2. 2The power rule and friendsNot written yetDerivatives of polynomials, constants and sums.
  3. 3Product and quotient rulesNot written yetDifferentiate products and ratios, and see why the rules hold.
  4. 4The chain ruleNot written yetFunctions inside functions; the most-used rule in physics and ML.
  5. 5Trig, exponential and logNot written yetThe derivatives of the functions physics runs on.
  6. 6Implicit differentiationNot written yetRates when y is tangled up with x.
  7. 7CheckpointNot written yetMixed differentiation practice.