# Thread: non-stationary point of inflection

1. ## 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

2. Originally Posted by normalguy
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.

3. Originally Posted by TheCoffeeMachine
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?

4. Originally Posted by normalguy
Then what is point of inflexion?
Point of inflection and point of inflexion are the same thing! :]

5. Originally Posted by TheCoffeeMachine
Point of inflection and point of inflexion are the same thing! :]
Then what is point of inflection?

6. Originally Posted by normalguy
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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