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Continuously differentiable function

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

Pronunciation
/kənˈtɪnjʊəsli ˌdɪfəˈrɛnʃəbəl ˈfəŋkʃən/
/kənˈtɪnjʊəsli ˌdɪfəˈrɛnʃɪəbəl ˈfʌŋkʃən/