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  1. * f'(x)                                               external
  2. f'(x) differentiates f(x) with respect to x. f'(x)=d(f(x),x). f'(x0) is
  3. diferent from diff(f(x), x=x0): f'(x0) first evaluates f(x0), then
  4. differentiates the value of f(x0); diff(f(x), x=x0) first differentates
  5. f(x), then replace x = x0.
  6. See also: d.
  7. e.g. sin'(x) gives cos(x).
  8.