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Can the product of two non-differentiable functions be differentiable?
Short answer: Sure. For a counterexample, let A be any non-differentiable function, let C be any differentiable function, and let B = C – A. We will have that A + B = C, and we will have that A and B are both non-differentiable with C differentiable.
Is it possible for a function to be differentiable nowhere?
if it is not differentiable at any point in the domain S of f . ). These functions are simply termed continuous nowhere differentiable functions. with a odd, 01+32π b > 1 + 3 2 ….References.
| Title | nowhere differentiable |
|---|---|
| Defines | nowhere differentiable curve |
Which of the following function is nowhere complex differentiable?
In mathematics, the Weierstrass function is an example of a real-valued function that is continuous everywhere but differentiable nowhere. It is an example of a fractal curve. It is named after its discoverer Karl Weierstrass.
Is function differentiable analytic?
A differentiable function is said to be analytic at a point if the function is differentiable at and its neighbourhood. More precisely, If is an open set, i.e every point in is an interior point, and is complex differentiable at every point in , then is said to be analytic on .
What kinds of functions are not differentiable?
Generally the most common forms of non-differentiable behavior involve a function going to infinity at x, or having a jump or cusp at x. There are however stranger things. The function sin(1/x), for example is singular at x = 0 even though it always lies between -1 and 1.
Where is a function not differentiable?
A function is not differentiable at a if its graph has a vertical tangent line at a. The tangent line to the curve becomes steeper as x approaches a until it becomes a vertical line.
What is the difference between complex differentiable function and analytic function?
If a function is differentiable on a complex plane then it is called complex differentiable. For it to be complex differentiable it should satisfy stricter rules than on real plane. A function that can be represented by a convergent power series in a region(real or complex plane) is called analytic function.