You can t actually guarantee that but you can guarantee that it is either not c1 or has derivative outside some bounds.
What is c1 means in mat.
In mathematical analysis the smoothness of a function is a property measured by the number of continuous derivatives it has over some domain.
They are both constants but they do not necessarily equal each other.
Anonymous asked in science mathematics mathematics 1 decade ago.
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Such functions are called continuously differentiable a differentiable function might not be c1.
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At the very minimum a function could be considered smooth if it is differentiable everywhere hence continuous.
At the other end it might also possess derivatives of all orders in its domain in which case it is said infinitely differentiable and.
In the context of vector calculus what does c1 and c2 mean.
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What do they mean.
C1 means continuous 1st derivative.
The class c1 consists of all differentiable functions whose derivative is continuous.
Looking for the definition of c1.
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2slik asked in science mathematics mathematics 1 decade ago.
The function f x x 2 sin 1 x for x neq 0 and f x 0 for x 0 is everywhere continuous and differentiablem but its derivative is f x cos 1 x 2x sin.
So if you calculate the derivative numerically and then see big jumps in the derivative then you might suspect that the underlying curve is not c1.
What does c1 and c2 mean in terms of differential equations.