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The function is called the signum function, or sign(x). It is equal to abs(x)/x

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Q: What is the derivative of the absolute value of x?
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What is the anti-derivative of the absolute value of x?

It is x|x|/2 + C


What is the anti derivative of 1 over x?

The anti-derivative of 1/x is ln|x| + C, where ln refers to logarithm of x to the base e and |x| refers to the absolute value of x, and C is a constant.


Why absolute value of x is not differentiable at point 0?

The absolute value of x, |x|, is defined as |x| = x, x>=0; -x, x<0. If you derive this, then you will find that the derivative is 1 when x>=0, and -1 when x<0. But this means that the derivative as x approaches 0 from the left does not equal the derivative as x approaches 0 from the right, as -1=/=1. So the limit as x approaches 0 does not exist, and therefore the gradient does not exist at that point, and so |x| cannot be differentiated at x = 0.


What is the absolute value of -19?

The absolute value of 19 is 19. If x is positive , absolute x equals x.


What is the absolute value of x minus the absolute value of x?

zero. The absolute value of a number is just the positive version of that number, so the absolute value of x is x, and x minus x is zero.


What is the derivative of 10x at x equals?

The derivative of 10x is 10. This is irrespective of the value of x.


What is the anti derivative of 1 divided by x?

If f(x)=1/x then F(x)=antiderivative of f(x)=ln(|x|) (the natural log of the absolute value of x) There's another way of reading this question. The anti derivative of 1 is x+c. Dividing that by x gives you 1 + c/x


What does the derivative graph mean?

I am assuming the you are talking about the graph of the derivative. The graph of the derivative of F(x) is the graph such that, for any x, the value of x on the graph of the derivative of F(x) is the slope at point x in F(x).


What is the absolute value of x?

Abs(x) = x when x >= 0Abs(x) = -x when x < 0.In short, abs(x) is the distance from the origin to x, irrespective of whether it is to the left or right.


What is the absolute value of a negative integers?

The absolute value of a number is how many spaces the number is away from 0. So if the number was 32, the absolute value would be 32. And if the number was -54, then the absolute value would be 54. ========== The definition of "absolute value" for a number x (written as |x| ) is: |x| = x for x &gt;0 |x| = 0 for x=0 |x| = -x for x&lt;0


How do you find the absolute value of something?

If a number is not less than zero then that is its absolute value. If a number is less than zero, its negative is its absolute value. So, if |x| denotes the absolute value of x, then |x| = -x for x&lt;0 [since if x&lt;0 then -x&gt;0] and |x| = x for x&gt;= 0


Absolute value of 1.5?

The absolute value of a positive number is the same number - in this case, 1.5. The absolute value of a negative number is the number, without the sign. Note that the absolute value of an expression like (-x) is not necessarily (x); rather, you have to separately consider the case that x is positive, or that x is negative. For example, the absolute value of x is x (if x is positive), or (-x) (if x is negative).