Twice continuously differentiable?

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Twice continuously differentiable?

2006-10-24 00:25:51 · 4 answers · asked by farhan k 2 in Science & Mathematics ➔ Mathematics

4 answers

It's a function twice differentiable such that it's second derivative is continuous. For example, f(x) = x^2. It's second derivative is f""(x) = 2, which is continuous.

2006-10-24 03:22:26 · answer #1 · answered by Steiner 7 · 2⤊ 0⤋

It means that the second derivative exists and is continuous.

2006-10-24 01:25:27 · answer #2 · answered by mathematician 7 · 1⤊ 0⤋

example: f = x^2 then f'=2x and f''=2, whats your definition of continuous?

2006-10-24 01:58:17 · answer #3 · answered by mathman241 6 · 0⤊ 0⤋

ya its possible

2006-10-24 01:00:34 · answer #4 · answered by . 3 · 0⤊ 3⤋