In Exercises 45–48, use graphing technology and the method in Example 5 to find the x-coordinates of the critical points, accurate to two decimal places. Find all relative and absolute maxima and minima . [ HINT: See Example 5.] y = x 2 + 1 x − 2 with domain ( − 3 , 2 ) ∪ ( 2 , 6 )
In Exercises 45–48, use graphing technology and the method in Example 5 to find the x-coordinates of the critical points, accurate to two decimal places. Find all relative and absolute maxima and minima . [ HINT: See Example 5.] y = x 2 + 1 x − 2 with domain ( − 3 , 2 ) ∪ ( 2 , 6 )
Solution Summary: The author calculates the x- coordinates of the critical points by using graphing technology.
In Exercises 45–48, use graphing technology and the method in Example 5 to find the x-coordinates of the critical points, accurate to two decimal places. Find all relative and absolute maxima and minima. [HINT: See Example 5.]
y
=
x
2
+
1
x
−
2
with domain
(
−
3
,
2
)
∪
(
2
,
6
)
Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .
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