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Spot the odd one out

Exercise and reference answers

Questions
  1. Items
    1. Differentiable implies continuous
    2. Continuous implies differentiable
    3. Continuity is weaker
    Odd item
    Continuous implies differentiable
  2. Items
    1. Sum
    2. Product
    3. Composite
    Odd item
    Composite
  3. Items
    1. Derivative exists
    2. Defined at the point
    3. Limit exists
    Odd item
    Derivative exists

Explanation

One statement runs backwards. Source: syllabus Maths, Ch 5 Continuity and Differentiability.
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