- #1
louie3006
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Homework Statement
y= x √6-x^2
Increasing and decreasing function
- Thread starter louie3006
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- decreasing Function Increasing
In summary, the conversation is about finding out if the given function is increasing or decreasing by using the first derivative test. The participants discuss using the product and chain rule to compute the first derivative, with one participant suggesting writing the equation in a different form to make it easier to compute.
y= x √6-x^2
- #2
tiny-tim
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Hi louie3006! 
erm
… what's the question?
louie3006 said:
erm
… what's the question? - #3
louie3006
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we need to find out if the function is increasing or decreasing by using the first derivative test and then setting it equal to zero, but i don't know how to get the 1st derivative of this thing ? any thoughts on that ?
- #4
e(ho0n3
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Do you know how to compute derivatives? If you do, then you should be able to compute the derivative of 'that thing'.
- #5
rey242
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look at product and chain rule, then everything should work out.
- #6
louie3006
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thank you
- #7
HallsofIvy
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Writing it as [itex]x(6- x^2)^{1/2}[/itex] helps a lot.
Related to Increasing and decreasing function
1. What is an increasing function?
An increasing function is a mathematical function where as the input (x) increases, the output (y) also increases. This means that the function is moving upward and can be represented by a graph that slopes upwards from left to right.
2. How can I tell if a function is increasing or decreasing?
To determine if a function is increasing or decreasing, you can look at the slope of the graph. If the slope is positive, the function is increasing. If the slope is negative, the function is decreasing.
3. What is the difference between an increasing and a decreasing function?
The main difference between an increasing and a decreasing function is the direction in which the function moves on a graph. An increasing function moves upward from left to right, while a decreasing function moves downward from left to right.
4. Can a function be both increasing and decreasing?
No, a function cannot be both increasing and decreasing at the same time. A function can only be either increasing or decreasing, depending on the direction of the graph.
5. How can I use increasing and decreasing functions in real life?
Increasing and decreasing functions can be used to model many real-life situations, such as population growth, stock market trends, and interest rates. By understanding how these functions work, we can make predictions and analyze trends in various fields.
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