differentiable function
nounUK /ˌdɪfəˈrɛnʃiəbl ˈfʌŋkʃn/
US /ˌdɪfəˈrɛnʃəbl ˈfʌŋkʃən/
A differentiable function is a math rule whose graph is smooth and has no sharp corners or breaks.
The teacher explained that a differentiable function always has a tangent line at every point on its curve.
RELATED WORDS
OTHER MEANINGS
2. A function that has a derivative at every point in its domain.
Polynomials are differentiable functions everywhere on the real line.
3. A function whose graph can be approximated locally by a straight line.
Near any point, a differentiable function looks almost like a straight line.
4. In multivariable calculus, a function whose change can be well approximated by a linear map.
The surface is described by a differentiable function of two variables.