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y=x+3/[(x-4)(x+3)] Definition: a critical number of a function f is a number c in the domain of f such that f'( c) = 0 or f'(c) doesn't exist. Since we have a rational function, the domain is all real numbers except the numbers that make the denominator zero. Therefore, x cannot be -3 and 4. There is a hole on the graph of the function at x = -3, and x = 4 is a vertical asymptote. Simplify first, then take the derivative of y. y = (x + 3)/[(x - 4)(x + 3)] = 1/(x - 4) y' = [1/(x - 4)]' use the quotient rule y' = [(x - 4)(0) - 1(1)]/(x - 4)^2 = -1/(x - 4)^2. Since the numerator is a constant, then y' is never zero, so there is not a critical point.
What else can I help you with?
What is function which is has irremovable discontinuity at x-2 removable discontinuity at x2 and continuous at other points?
"Removable discontinuity" means the function is not defined at that point (it has a "hole"), but by changing the function definition at that single point, defining it to be certain value, it becomes continuous. "Irremovable discontinuity" means the function makes a sudden jump at that point. There are infinitely many functions like that; for example, you can set the function to be: f(x) is undefined at x = -2 f(x) = 0 for x < 2 (except for x = -2) f(x) = 1 for x > 2
What is unremovable discontinuity?
If you have a discontinuity and you can cancel factors in the numerator and the denominator, then it is removable. If you can't cancel those factors to get rid of the discontinuity it is nonremovable. Here is an example that shows both kinds. f(x) = (x - 2)(x + 3) /[(x - 2) (x - 4) There is a discontinuity at x=2 but we can cancel out(x-2) from the top and bottom. That makes it removable. However, at x=4 there also a discontinuity and there is no way to remove that one.
What is the difference between a critical point and control point?
A Control Point or "CP" is any step in the flow of food where a physical, chemical or biological hazard can be controlled. Where as A Critical Control Point or "CCP" is the last step where you can intervene to prevent, eliminate or reduce a hazard to an acceptable limit.
Can a non continuous function be differentiable?
No, a non-continuous function cannot be differentiable at the points of discontinuity. Differentiability requires the existence of a well-defined tangent line at a point, which necessitates continuity at that point. However, a function can be differentiable on intervals where it is continuous, even if it has discontinuities elsewhere.
What did the asymptote say to the removable discontinuity?
Don't hand that holier than thou line to me
Is the 'concept of discontinuity' characterized by 'qualitative change'?
Yes, the concept of discontinuity is often characterized by qualitative change because it involves a sharp break or interruption in a pattern, process, or system. This change can lead to a shift in underlying qualities or characteristics, creating a distinct separation before and after the discontinuity point.
What is function which is has irremovable discontinuity at x-2 removable discontinuity at x2 and continuous at other points?
"Removable discontinuity" means the function is not defined at that point (it has a "hole"), but by changing the function definition at that single point, defining it to be certain value, it becomes continuous. "Irremovable discontinuity" means the function makes a sudden jump at that point. There are infinitely many functions like that; for example, you can set the function to be: f(x) is undefined at x = -2 f(x) = 0 for x < 2 (except for x = -2) f(x) = 1 for x > 2
When was The Discontinuity Guide created?
The Discontinuity Guide was created in 1995.
How many pages does The Discontinuity Guide have?
The Discontinuity Guide has 357 pages.
What is the critical point of water in Kelvin?
The critical point of water in Kelvin is 647.3 K.
Discontinuities of first and second kind?
A discontinuity of the first kind occurs when a function's limit does not exist at a specific point, while a discontinuity of the second kind happens when the function's value at a particular point is undefined or infinite. Discontinuities of the first kind can be classified as removable, jump, or infinite discontinuities, based on the behavior of the limit.
What is the bending moment diagram for a simple supported beam with udl and a point load not in the centre of the span?
The answer is not formulatic. There will be a parabolic shape from the dead load and a discontinuity at the point load.
Who was the Moho Discontinuity named after?
The Mohorovičić Discontinuity, also called the Moho Discontinuity, was named for Andrija Mohorovičić, the Croatian seismologist who first identified it in 1909.
What word will you get when you unscramble this word dustointinyic?
The unscrambled word is discontinuity.
What is the ISBN of The Discontinuity Guide?
The ISBN of The Discontinuity Guide is 0-426-20442-5.
What are the two layers of discontinuity that are part of the interior structure of earth?
The two layers of discontinuity in Earth's interior are the Mohorovičić discontinuity (Moho) that separates the Earth's crust from the underlying mantle, and the Gutenberg discontinuity that marks the boundary between the mantle and the outer core. These discontinuities are characterized by changes in seismic wave velocity and composition.
Is the lehmann discontinuity 220 km beneath the Gutenberg discontinuity?
No, the Lehmann discontinuity is believed to be located between 220 km and 260 km beneath the Earth's surface. The Gutenberg discontinuity, on the other hand, sits at a depth of around 2,900 km.
