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The derivative can be thought of as the slope of the line tangent to a curve at any given point. If you graph the expression y = 3, for example, it is just a horizontal line intercepting the y axis at 3. The slope of that line is, of course, equal to zero, for any point on the curve (which in this case is a straight line). Therefore, the derivative (with respect to x) of y = 3 is zero. Since the slope of any horizontal line is zero, the derivative of any line of the form y = k, where k is a constant, is zero.
Answer2:
Any constant quantity and an expression that has a maximum or minimum or both, has a derivative equal to zero.
What else can I help you with?
What is the derivative of square root of 3?
The derivative of ANY constant expression - one that doesn't depend on variables - is 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 a nonzero number?
A quantity which does not equal zero is said to be nonzero.
For what value of x is the rational expression below equal to zero?
2
What does it mean for a function when the graph of the derivative crosses the x-axis?
This means that the function has reached a local maximum or minimum. Since the graph of the derivative crosses the x-axis, then this means the derivative is zero at the point of intersection. When a derivative is equal to zero then the function has reached a "flat" spot for that instant. If the graph of the derivative crosses from positive x to negative x, then this indicates a local maximum. Likewise, if the graph of the derivative crosses from negative x to positive x then this indicates a local minimum.
What is the derivative of square root of 3?
The derivative of ANY constant expression - one that doesn't depend on variables - is zero.
What is the derivative of 4 square root 2?
The derivative of any constant - any expression that does not involve the independent variable - is 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 causes numerator of a expression to equal zero?
When the numerator of any expression or fraction is zero then the result is zero because zero divided by any number is always equal to zero.
How can you know that a value is the minimum of a function?
When the first derivative of the function is equal to zero and the second derivative is positive.
What is the derivative of 40?
The derivative of 40 is zero. The derivative of any constant is zero.
What is the continuity in mathematics?
Continuity in mathematics is the first derivative equal to zero or the Boundary condition.
What is a nonzero whole number?
A nonzero whole number is a quantity which does not equal zero and number without fractions.
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.
How do you calculate critical points of derivatives?
The "critical points" of a function are the points at which the derivative equals zero or the derivative is undefined. To find the critical points, you first find the derivative of the function. You then set that derivative equal to zero. Any values at which the derivative equals zero are "critical points". You then determine if the derivative is ever undefined at a point (for example, because the denominator of a fraction is equal to zero at that point). Any such points are also called "critical points". In essence, the critical points are the relative minima or maxima of a function (where the graph of the function reverses direction) and can be easily determined by visually examining the graph.
How do you set the denominator equal to zero?
You do not. If you do, the expression is undefined: it has no value.
