Two are true, one is not

Exercise and reference answers

Questions

1. False statement

   Continuous implies differentiable

   Statements

   1. Differentiable implies continuous
   2. Continuous does not imply differentiable
   3. Continuous implies differentiable

2. False statement

   Quotients are continuous even where the denominator is zero

   Statements

   1. Quotients are continuous even where the denominator is zero
   2. Sums of continuous functions are continuous
   3. Products of continuous functions are continuous

3. False statement

   Continuity compares derivative and value

   Statements

   1. The chain rule differentiates composites
   2. Continuity compares derivative and value
   3. Continuity compares limit and value

Explanation