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3 Written questions

3 Multiple choice questions

  1. If the limit as h approaches zero of [f(a+h) - f(a)] / h exists, then the limit is differentiable at x=a. Notation: f'(a)
  2. Suppose two functions f(x) and g(x) are differentiable around a and g'(x) does not equal zero, Then iff trying to find the limit as x approaches a of f(x)/g(x) and the limit of f(x) and g(x) both equal zero, or both equal infinity, then the limits of indeterminate form can be evaluated by taking the derivative of both f(x) and g(x).
  3. If the limit of f(x) as x approaches a exists, and the limits are equal to f(a) at the point and from both sides, then f(x) is continuous at x=a

2 True/False questions

  1. Average Rate of ChangeHow fast f(x) is increasing or decreasing at the point x = a


  2. Instantaneous Rate of Change[f(b) - f(a)] / (b-a)


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