0
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.
Wiki User
∙ 6y ago
Add your answer:
Earn +20 pts
Is the length of hair continuous or discontinuous?
Discontinuous
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.
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?
discontinuous
Is the length of hair continuous or discontinuous?
Discontinuous
Is there a function that is continuous everywhere differentiable at rationals but not differentiable at irrationals?
No.
What function is continuous everywhere but not differentiable?
Weistrass function is continuous everywhere but not differentiable everywhere
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. :) !
Is rose flower color continuous or discontinuous variation?
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?
Definition: A function f is differentiable at a if f'(a) exists. it is differentiable on an open interval (a, b) [or (a, ∞) or (-∞, a) or (-∞, ∞)]if it is differentiable at every number in the interval.Example: Where is the function f(x) = |x| differentiable?Answer:1. f is differentiable for any x > 0 and x < 0.2. f is not differentiable at x = 0.That's mean that the curve y = |x| has not a tangent at (0, 0).Thus, both continiuty and differentiability are desirable properties for a function to have. These properties are related.Theorem: If f is differentiable at a, then f is continuous at a.The converse theorem is false, that is, there are functions that are continuous but not differentiable. (As we saw at the example above. f(x) = |x| is contionuous at 0, but is not differentiable at 0).The three ways for f not to be differentiable at aare:a) if the graph of a function f has a "corner" or a "kink" in it,b) a discontinuity,c) a vertical tangent
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.
