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I am Lyosha [343]
3 years ago
10

FIRST TO ANSWER GETS BRAINLIEST & points

Mathematics
1 answer:
DaniilM [7]3 years ago
8 0

Answer:

2.5 aka 5/2

Step-by-step explanation:

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Identify the interval where y = x3 + 3x2 - 2x + 4 is decreasing.
VladimirAG [237]
Please be certain to use the symbol "^" to denote exponentiation.  Your function y should be written as

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Principle:  if the derivative of a function is negative on a certain x-interval, the function is decreasing on that interval.      Thus, you must differentiate the given function:  find dy/dx.  Set this dy/dx = to 0 and solve the resulting equation for x.  Set up intervals on the # line based upon your solutions.
For example, if x=-1 and x=2, then set up 3 intervals:  (-infinity,-1), (-1,2), and (2, infinity).  Looking at each interval separately, identify the interval or intervals on which the derivative dy/dx is negative.  

This is a critically important skill in calculus and well worth the time and effort required to learn it.
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