Tag Archive for: differentiability

deriitive5

The Pantheon of Derivatives – Important Theorems (V)

/
2 Comments
Implicit Function Theorem [1] Jacobi Matrix (Chain Rule). Let ## (x_0,y_0 ) ## be a point in$$U_1 \times U_2 = \{x \in \mathbb{R}^k\,\vert \,||x-x_0||<…
differentiable function 2

Nowhere Differentiable Functions: Fejér Kernel & Cesàro Sums

/
2 Comments
This is Part 2 of a series of articles in which the goal is to exhibit a continuous function that is nowhere differentiable and to explore some interesting…
differentiable function

Constructing a Continuous but Nowhere Differentiable Function

/
11 Comments
When studying calculus, we learn that every differentiable function is continuous, but a continuous function need not be differentiable at every point.…