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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.)

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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.

Related Questions

What is the derivative of 40?

The derivative of 40 is zero. The derivative of any constant is zero.


What is the derivative of 4pi?

zero. In this problem, since there is no variable, the derivative is zero.


What is the derivative of 8?

Zero. In general, the derivative of any constant is zero.


What is the double prime of 5x?

The "double prime", or second derivative of y = 5x, equals zero. The first derivative is 5, a constant. Since the derivative of any constant is zero, the derivative of 5 is zero.


How do you find the ponts of inflexion on a curve?

At the point of inflexion:the first derivative must be zero. the second derivative must be zero, if the next derivative is zero then the one following that must also be zero.


What is the derivative of 24?

zero


What is the derivative of the square root of 2?

The derivative of sqrt(2) is zero.


What is the derivative value at an inflection point?

the second derivative at an inflectiion point is zero


What is the derivative of the the constant function?

zero


What happens when something is multiplied by the derivative of 1?

When something is multiplied by the derivative of 1, the result is zero. This is because the derivative of a constant (like 1) is always zero, indicating that there is no change in value regardless of the input. Therefore, any value multiplied by zero will also equal zero.


Where the graph of a function equals the value zero?

you have to first find the derivative of the original function. You then make the derivative equal to zero and solve for x.


What is the derivative of?

ln(3) is a constant. If graphed, it would be a horizontal line. Its derivative is zero.