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Usually at the minimum or maximum of a function, one of the following conditions arises:
- The derivative is zero.
- The derivative is undefined.
- The point is at the end-points of the domain that is being considered (or of the naturally-defined domain, for example, zero for the square root).
This will give you "candidate points"; to find out whether each of these candidate points actually is a maximum or a minimum, additional analysis is required. For example, if the second derivative is positive, you have a minimum, if the second derivative is negative, you have a maximum - but if it is zero, it may be a maximum, a minimum, or neither.
What else can I help you with?
What is the maximum or minimum point called?
A maximum or minimum is generally referred to as an extrema.
How do you know if a parabola has a minimum or maximum value?
When you look at the parabola if it opens downwards then the parabola has a maximum value (because it is the highest point on the graph) if it opens upward then the parabola has a minimum value (because it's the lowest possible point on the graph)
What is another name for the maximum or minimum point of a quadratic graph?
Apex.
What is The turning point of a parabola?
the vertex, or very bottom point.I can also be called the maximum or minimum.
What is maximum or minimum of function?
Addition is the maximum or minimum function in math.
What is the extreme point called on a parabola?
The vertex, or maximum, or minimum.
What is the maximum or minimum point called?
A maximum or minimum is generally referred to as an extrema.
What are the maximum and minimum points of a wave called?
The maximum point of a wave is called the crest, and the minimum point is called the trough.
What is the minimum and maximum of dog you can have in the Iditarod?
minimum is 7 maximum is I don't know
How can use a box-and-whisker plot to find the range of a data set?
The leftmost point is the minimum value.The rightmost point is the maximum value.The difference between them is the range.The leftmost point is the minimum value.The rightmost point is the maximum value.The difference between them is the range.The leftmost point is the minimum value.The rightmost point is the maximum value.The difference between them is the range.The leftmost point is the minimum value.The rightmost point is the maximum value.The difference between them is the range.
How do you know if a parabola has a minimum or maximum value?
When you look at the parabola if it opens downwards then the parabola has a maximum value (because it is the highest point on the graph) if it opens upward then the parabola has a minimum value (because it's the lowest possible point on the graph)
What are the maximum and minimum temperatures in Iraq?
in Iraq the temperature's maximum point is about 70 degrees and the minimum is about 0-10
What is the point of minimum amplitude called?
The point of minimum amplitude is called the trough. The trough is the lowest point on a wave where the amplitude is at its minimum. It is the opposite of the peak, which is the highest point on a wave where the amplitude is at its maximum.
How do you find the minimum or maximum of a function?
By taking the derivative of the function. At the maximum or minimum of a function, the derivative is zero, or doesn't exist. And end-point of the domain where the function is defined may also be a maximum or minimum.
How do you know if the vertex is maxinum or mininum?
If the arrows of the graph point down, then the vertex is a maximum because it is the greatest point on the graph. If the arrows point up, then the vertex is the minimum because it is the lowest point.
Where is the point on the parabola for the maximum area?
The point on the parabola where the maximum area occurs is at the vertex of the parabola. This is because the vertex represents the maximum or minimum point of a parabolic function.
What are the two types of azeotropes?
The two types of azeotropes are minimum boiling point azeotropes and maximum boiling point azeotropes. Minimum boiling point azeotropes form at a boiling point lower than that of any of its components, while maximum boiling point azeotropes form at a boiling point higher than that of any of its components.
