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continuously differentiable function

function whose derivative exists and is continuous at each point in its domain

en-GB/kənˈtɪnjʊəslɪ ˈdɪfəˌɹɛnʃɪəbəl ˈfʌŋkʃn/
en-US/kənˈtɪnjuəsli ˌdɪfəˈɹɛnʃiəbəl ˈfʌŋkʃən/

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differentiable function