differentiable
1
9.8
- adjective
- /ˌdɪfərˈɛnʧəbl/
- Specialized
:
diferenciable
- To formulate the concept of appetite, it seems adequate to introduce the notion of a differentiable flow.
- differentiable function
- differentiable manifold
- twice-differentiable
So it's different than the optimization over differentiable functions.
- So it's different than the optimization over differentiable functions.
- Oh, OK, so continuous differentiable, continuous differentiable continuous differentiable.
Examples
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A function is considered differentiable if it has a derivative at every point in its domain.
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So this is the region that has this vector field, both both differentiable and defined.
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Again, for differentiable functions, what it says is the following.
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So a twice differentiable function means that all three of these are defined functions.
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In the following, we consider the differential of a matrix with differentiable function entries.
Academic text (2010) -
The translog functional form can be considered a second-order approximation to an arbitrary twice-differentiable cost function.
Academic text (1993) -
Mathematically speaking, the world should be a four-dimensional differentiable manifold. (Three dimensions for space-like sub-structures and one dimension for a time-like sub-structure.)
Academic text (1998) -
Calculus often involves analyzing functions that are differentiable at various intervals.
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In mathematics, we learn that a differentiable function is one that possesses a defined slope at all points.
How Differentiable
Surface Forms
Morphology
differentiable = differentiate (semi-transparent) = differentiate + able
Form is clearly 'differentiate' + '-able', but the mathematical sense 'having a derivative' is a specialized technical extension that may not be obvious to general learners.
Etymology
Differentiable comes from different and the verb differentiate, which originally meant 'to make different' or 'to find the difference'. In maths a helpful way to remember it is that a differentiable function is one where you can take a derivative, a measure of very small changes or 'differences', so the graph is smooth.