differentiability
nounUK /ˌdɪfəˌrɛnʃiəˈbɪləti/
US /ˌdɪfəˌrɛnʃəˈbɪləti/
Differentiability is when a curve is smooth enough that you can draw a straight line touching it at any point.
The teacher explained differentiability by showing that a sharp corner has no single tangent line.
RELATED WORDS
OTHER MEANINGS
2. In math, the property of a function having a derivative at a given point.
We checked the differentiability of the function at x equals zero.
3. The quality of being able to be told apart or distinguished.
The differentiability of the two twins' voices surprised everyone.
4. The ability to be changed or varied in form.
The differentiability of the software settings makes it useful for many users.