differentiable in A Sentence

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    Differentiable manifolds are very important in physics.

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    Neural networks are composed of Differentiable functions, so that they can be trained using gradient descent.

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    (b) f(x) is everywhere continuous but not Differentiable at x = n π, n ∈ Z.

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    I was considering periodic functions that were Differentiable at every point in$\mathbb{R}$, but I realize that a function only has to be Differentiable at all points in its domain to be considered Differentiable.

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    One important consequence of the theorem is that path integrals of holomorphic functions on simply connected domains can be computed in a manner familiar from the fundamental theorem of real calculus: let U be a simply connected open subset of C, let f: U → C be a holomorphic function, and let γ be a piecewise continuously Differentiable path in U with start point a and end point b.

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