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differentiable function

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Also known as derivable function

function whose derivative exists at each point in its domain

~13 min read

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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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