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Sujay Group Title

When we are finding critical points (with the first or 2nd derivative), it has been told to us that it is when we set the derivative (1st or 2nd depending on the case) to 0. Whenever the derivative =0 or is undefined, is a critical point. However, I've noticed a pattern that when the point is undefined starting from the original function itself, there is no use in even considering it a critical value since it doesn't help. Is this true?

  • one year ago
  • one year ago

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  1. abb0t Group Title
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    Not all functions will have critical points.

    • one year ago
  2. Sujay Group Title
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    I'm talking about a point in general.

    • one year ago
  3. chaguanas Group Title
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    This is another tool in your tool box of studying functions, eg, in pre-cal one studies end behavior, etc, of functions. As you go on in calculus, you get questions like is this point a max, min, or neither (saddle point).

    • one year ago
  4. Sujay Group Title
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    Hi, I think I resolved my own question. A critical value can be when the function exists, but the derivative doesn't (how could I forget!).

    • one year ago
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