20x^6 / (15y^5 * (5y^2 / 6x^4))
(20x^6 * 6x^4) / 75y^7
120x^10 / 75y^7
Simplify by dividing numerator and denominator by 15
8x^10 / 5y^7
The interval of the function that contains the local maximum is given by:
[0, 2].
<h3>What is the question?</h3>
The graph of the function that we want to analyze the behavior is missing. It states that:
- The function is decreasing from negative infinity to x = -0.8.
- Then the function increases from x = -0.8 to x = 1.55.
- After that, the function decreases until infinity.
<h3>What is a local maximum in a function f(x)?</h3>
A local maximum in a function f(x) is a value of x at which the function changes from increasing to decreasing.
Researching this problem on the internet, and looking at the graph, the function changes from increasing to decreasing at point x = 1.55, hence the interval that contains the local maximum of the function is:
[0, 2].
More can be learned about local maximums at brainly.com/question/13333267
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Answer:
![n*6](https://tex.z-dn.net/?f=n%2A6)
Step-by-step explanation:
A number being n and the product meaning multiplication.