| 31. | Be a " k " times differentiable function at the point.
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| 32. | For unconstrained problems with twice-differentiable functions, some locally Lipschitz functions.
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| 33. | In other words, a differentiable curve differentiable manifold is of dimension one.
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| 34. | In other words, a differentiable curve differentiable manifold is of dimension one.
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| 35. | Another way to define orientations on a differentiable manifold is through volume forms.
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| 36. | Derivatives of compositions involving differentiable functions can be found using the chain rule.
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| 37. | If a function is differentiable and convex then it is also continuously differentiable.
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| 38. | If a function is differentiable and convex then it is also continuously differentiable.
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| 39. | Informally, this means that differentiable functions are very atypical among continuous functions.
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| 40. | Suppose that the functions are continuously differentiable with derivatives.
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