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Math Help - non-stationary point of inflection

  1. #1
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    non-stationary point of inflection

    Hi bros,

    What is a non-stationary point of inflection?
    Examples?
    How to tell directly from looking?
    Any test?
    What is dy/dx and d2y/dx2 of a non-stationary point of inflection?

    Thx
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  2. #2
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    Quote Originally Posted by normalguy View Post
    What is a non-stationary point of inflection?
    Say your function is f(x), and your point of inflection occurs at x = ξ. If f'(ξ) = 0, then your point is a stationary point of inflection; if f'(ξ) ≠ 0, then your point is a non-stationary point of inflection.
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  3. #3
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    Quote Originally Posted by TheCoffeeMachine View Post
    Say your function is f(x), and your point of inflection occurs at x = ξ. If f'(ξ) = 0, then your point is a stationary point of inflection; if f'(ξ) ≠ 0, then your point is a non-stationary point of inflection.
    Then what is point of inflexion?
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  4. #4
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    Quote Originally Posted by normalguy View Post
    Then what is point of inflexion?
    Point of inflection and point of inflexion are the same thing! :]
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  5. #5
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    Quote Originally Posted by TheCoffeeMachine View Post
    Point of inflection and point of inflexion are the same thing! :]
    Then what is point of inflection?
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  6. #6
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    Quote Originally Posted by normalguy View Post
    Then what is point of inflection?
    It is the point where the concavity of a function changes. Use Google to get further information on both your question and my answer. Thread closed.
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