Akuli/math-derivations

derivative and limit todo list

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Akuli commented
  • derivative of sin and cos, with and without location and speed
  • derivatives of exponent functions
  • derivative of ln with chain rule (assume that it exists)
  • alternative definition of derivative: lim_(t -> x) (f(t)-f(x))/(t-x)
  • derivative exists => is continuous
  • limits with infinity
    • lim_(x -> oo) aka limit of function
    • lim_(n -> oo) aka limit of sequence
    • lim = oo (define "limit exists" to exclude these cases)
    • how to convert limit rule derivations so that they apply for these as well
  • ensure that derivative-vector.html doesn't say "derivative of f" when it should say "derivative of g" (not sure if i fixed this yet)
  • finding min and max values with derivative