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Wherever a function is differentiable, it must also be continuous. The opposite is not true, however. For example, the absolute value function, f(x) =|x|, is not differentiable at x=0 even though it is continuous everywhere.

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7y ago
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The specific points depend on the function. At any point where a function is discontinuous, it is not differentiable.

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If a function f(x) is discontinuous at any point then it cannot be differentiable at that point.

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Q: Where is f(x) discontinuous but not differentiable Explain?
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Is log x differentiable at 1?

yes...


Is hair color continuous or discontinuous variation?

Hair colour is continuous because there is a continual range of values when it comes to hair colour


When you say a function is not differentiable?

Well, firstly, the derivative of a function simply refers to slope. Usually we say that the function is not differentiable at a point.Say you have a function such as this:f(x)=|x|Another way to represent that would be as a piece-wise function:g(x) = { -x for x= 0The problem arises at the specific point x=0. If you look at the slope--the change in the function--from the left and right of x, you notice that it is different, negative 1 and positive 1. So, we can say that the function is not differentiable at x=0 because of that sudden change.There are however, a few functions that are nowhere differentiable. One example is the Weirstrass function. The even more ironic thing about this function is that it is continuous everywhere! Since this function is not differentiable anywhere, many might call it a non-differentiable function.There are absolutely other examples.


Can a graph be differentiable at a specific point but not continuous at the same point?

Not according to the usual definitions of "differentiable" and "continuous".Suppose that the function f is differentiable at the point x = a.Then f(a) is defined andlimit (h -> 0) [f(a+h) - f(a)]/h exists (has a finite value).If this limit exists, then it follows thatlimit (h -> 0) [f(a+h) - f(a)] exists and equals 0.Hence limit (h -> 0) f(a+h) exists and equals f(a).Therefore f is continuous at x = a.


Is the length of hair continuous or discontinuous?

Well, friend, the length of hair is continuous in nature. Just like a happy little stream flowing smoothly through a meadow, hair can vary in length from very short to very long with no sudden breaks or gaps. Embrace the uniqueness of your hair, and remember, there are no mistakes, just happy little accidents.

Related questions

What is the derivative of 1 divided by fx under the conditions that fx is differentiable and fx cannot be 0?

Negative the derivative of f(x), divided by f(x) squared. -f'(x) / f²(x)


Is the gender a continuous or discontinuous variation?

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No.


What function is continuous everywhere but not differentiable?

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What are some adjectives for the math term function?

Here are some: odd, even; periodic, aperiodic; algebraic, rational, trigonometric, exponential, logarithmic, inverse; monotonic, monotonic increasing, monotonic decreasing, real, complex; discontinuous, discrete, continuous, differentiable; circular, hyperbolic; invertible.


Is human skin colour continuous or discontinuous variation?

Natural eye colour is discontinuous. :) !


Explain how the graph of fx ln x be used to graph the function gx ex -1?

graph gx is the reflection of graph fx and then transformed 1 unit down


When was function not having a derivative at a point?

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What is discontinuous innovation?

Discontinuous innovation is innovation that is divorced from prior common knowledge.


Is albinism continuous or discontinuous?

Discontinuous. There's no middle ground, someone either has it or doesn't.


Discontinuous function in fourier series?

yes a discontinuous function can be developed in a fourier series


Why is weight discontinuous?

its not