differentiability

the concept of differentiability is essential in calculus.

to determine differentiability, we analyze the function's behavior.

differentiability implies continuity, but continuity does not imply differentiability.

we studied the differentiability of various functions in class.

graphing the function helps us visualize its differentiability.

in higher mathematics, differentiability plays a crucial role.

we must check for differentiability before applying optimization techniques.

understanding differentiability is key to mastering differential equations.

many real-world problems require an understanding of differentiability.