# non-stationary point of inflection

• May 13th 2011, 09:40 PM
normalguy
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
• May 13th 2011, 10:47 PM
TheCoffeeMachine
Quote:

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.
• May 13th 2011, 11:05 PM
normalguy
Quote:

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?
• May 13th 2011, 11:08 PM
TheCoffeeMachine
Quote:

Originally Posted by normalguy
Then what is point of inflexion?

Point of inflection and point of inflexion are the same thing! :]
• May 13th 2011, 11:09 PM
normalguy
Quote:

Originally Posted by TheCoffeeMachine
Point of inflection and point of inflexion are the same thing! :]

Then what is point of inflection?
• May 14th 2011, 12:03 AM
mr fantastic
Quote:

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.