differentiable function
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function whose derivative exists at each point in its domain
Wikidata facts
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- smooth function
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Encyclopedic overview
A differentiable function In mathematical analysis, a real or complex function of a single variable is differentiable if its derivative exists at each point in its domain. For real-valued functions of a real variable, the graph of a differentiable function has a non-vertical tangent line at each interior point in its domain. A differentiable function is locally approximable by a linear function at each interior point, and does not contain any break, angle , or cusp.
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Excerpted from Wikipedia’s “differentiable function” article, available under the CC BY-SA 4.0 licence.