Which of the following is not true?
1) A polynomial function is always continuous
2) A continuous function is always differentiable
3) A differentiable function is always continuous
4) None of these
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1 true
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Answer:
any differentiable function must be continuous at every point in its domain. The converse does not hold: a continuous function need not be differentiable. For example, a function with a bend, cusp, or vertical tangent may be continuous, but fails to be differentiable at the location of the anomaly.
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