answersLogoWhite

0

The derivate of zero - as well as the derivative of ANY constant (non-variable) number, is zero. (A graph of y = 0 for example will be a horizontal line - the slope is zero.)

User Avatar

Wiki User

14y ago

Still curious? Ask our experts.

Chat with our AI personalities

BlakeBlake
As your older brother, I've been where you are—maybe not exactly, but close enough.
Chat with Blake
ViviVivi
Your ride-or-die bestie who's seen you through every high and low.
Chat with Vivi
JudyJudy
Simplicity is my specialty.
Chat with Judy

Add your answer:

Earn +20 pts
Q: Derivative of zero
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Other Math

What is the derivative of 0?

If you mean "what is the deriviative of f(x) = 0?", the answer is 0. (zero) The deriviative of any constant is zero.


Is signum function differentiable?

The signum function, also known as the sign function, is not differentiable at zero. This is because the derivative of the signum function is not defined at zero due to a sharp corner or discontinuity at that point. In mathematical terms, the signum function has a derivative of zero for all values except at zero, where it is undefined. Therefore, the signum function is not differentiable at zero.


Is it always true that between any two zeros of any polynomial there is a zero of the derivative?

Yes.


What is the rate of change of a horizontal line?

The rate of change of any function is its derivative. The equation of a horizontal line is simply a constant, for example y=10. The derivative of any constant is ZERO.


How do you determine the relative minimum and relative maximum values of functions and the intervals on which functions are decreasing or increasing?

You take the derivative of the function. The derivative is another function that tells you the slope of the original function at any point. (If you don't know about derivatives already, you can learn the details on how to calculate in a calculus textbook. Or read the Wikipedia article for a brief introduction.) Once you have the derivative, you solve it for zero (derivative = 0). Any local maximum or minimum either has a derivative of zero, has no defined derivative, or is a border point (on the border of the interval you are considering). Now, as to the intervals where the function increase or decreases: Between any such maximum or minimum points, you take any random point and check whether the derivative is positive or negative. If it is positive, the function is increasing.