Concept explainers
a.
To show: that function have
a.
Explanation of Solution
Given information:
The function is
Proof: to find the extreme value, differentiate the function because function has no end points,
Now, equal the differentiation to zero,
Form the above equation, if
Example: the function
The function
The function
b.
To find: that how many local extreme function can have.
b.
Answer to Problem 53E
The function can have two or none local extreme.
Explanation of Solution
Given information:
The function is
Calculation: to find the extreme value, differentiate the function because function has no end points,
Now, equal the differentiation to zero,
Because, the differentiation of the function is an quadratic equation, so the value of the local extreme can be two or none.
Chapter 5 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Calculus & Its Applications (14th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Calculus and Its Applications (11th Edition)
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