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5 Written questions

5 Matching questions

  1. uvw'+uv'w+u'vw
  2. Extreme Value Theorem
  3. Squaring function
  4. Square root function
  5. f'(x)+g'(x)
  1. a
    D: (-∞,+∞)
    R: (o,+∞)
  2. b
    D: (0,+∞)
    R: (0,+∞)
  3. c
  4. d If f is continuous on [a,b] then f has an absolute maximum and an absolute minimum on [a,b]. The global extrema occur at critical points in the interval or at endpoints of the interval.
  5. e

5 Multiple choice questions

  1. If f'(c)=0 or does not exist, and c is in the domain of f, then c is a critical number. (Derivative is 0 or undefined)

  2. hint: tanu = sinu/cosu

5 True/False questions

  1. Exponential growth (use N= )
    D: (-∞,+∞)
    R: (-∞,+∞)

          

  2. cos(x)

          

  3. Fundamental Theorem of Calculus #1
    The definite integral of a rate of change is the total change in the original function.

          

  4. L'Hopital's Rule

          

  5. -csc(x)+C