differentiable

Preposition: on

• line: Then is defined and differentiable on the whole line Re, and for Re.

Modifies a noun

• function: Take the following example question, Example question 16 Give a differentiable function with a turning point at x=1.
• manifold: The aim of the course is to give the students a thorough knowledge of differentiable manifolds and the geometric structures which dominate Riemannian geometry.
• system: Dr. Froyland's research interests lie in the areas of differentiable dynamical systems and ergodic theory ( theoretical and computational aspects ).

Modifying Another Word

• nowhere: It gives a continuous curve which is of infinite length and nowhere differentiable.
• infinitely: Then what about infinitely differentiable functions that were non-analytic?
• continuously: A homeomorphism that has at least one continuous derivative ( w.r.t. z ) and a continuously differentiable inverse is a diffeomorphism.
• suitably: Exercise 8.7 Let z = f ( x / y ), where f is suitably differentiable.
• easily: In the lower epithelium the large and long lacunar cells are easily differentiable.