Two true, one false

Exercise and reference answers

Questions

1. False statement

   Continuity needs the derivative to exist

   Statements

   1. Continuity needs the limit to exist
   2. Continuity needs the value to match it
   3. Continuity needs the derivative to exist

2. False statement

   Quotients need no condition

   Statements

   1. Quotients need no condition
   2. Sums of continuous functions are continuous
   3. Quotients need a non-zero denominator

3. False statement

   Chain rule is for sums

   Statements

   1. Chain rule is for composites
   2. Chain rule is for sums
   3. Differentiable implies continuous

Explanation