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Mathematical Expression Editor
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Here we’ll practice using the first derivative test.
The function has two critical points. If we call these critical point and , and order
them such that , then
On , is
On , is
On , is
Consider restricted to the domain .
On this interval, the absolute maximum value of is .
On this interval, the absolute minimum value of is .
Consider the function .
What is the domain of this function?
Domain:
has only one critical point. Call this critical point .
On , is
On , is
On , is
is an absolute
The function has two critical points and one point where is undefined. If we call
these points , , and and order them such that , then
On , is
On , is
On , is
On , is
is the location of a
is the location of a
is the location of a
If then the function has two critical points and one point where the function is
undefined. If we call these points , , and and order them such that , then
On , is
On , is
On , is
On , is
is the location of a
is the location of a
is the location of a
The function has two critical points. If we call these critical points and , and order
them such that , then
On , is
On , is
On , is
is the location of a
is the location of a
Start typing the name of a mathematical function to automatically insert it.
(For example, "sqrt" for root, "mat" for matrix, or "defi" for definite integral.)
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Start typing the name of a mathematical function to automatically insert it.
(For example, "sqrt" for root, "mat" for matrix, or "defi" for definite integral.)