| 1. | Let be a differentiable function, and let be its derivative.
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| 2. | On the real line, every polynomial function is infinitely differentiable.
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| 3. | Furthermore, the interpolant is a polynomial and thus infinitely differentiable.
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| 4. | An analogous criterion can be formulated for maps between differentiable manifolds.
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| 5. | Similarly for a differentiable manifold it has to be a diffeomorphism.
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| 6. | Where f and g are any two twice-differentiable functions.
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| 7. | The other subspecies are differentiable from the above subspecies as follows:
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| 8. | Hermann Weyl gave an intrinsic definition for differentiable manifolds in 1912.
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| 9. | Essentially, the convex domains and domains with continuously differentiable boundary.
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| 10. | Do you know and understand the definitions of continuous and differentiable?
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