A function f (not given) has a domain of all real numbers. The 1st derivative is f'(x)=ex(x-6) and the 2nd derivative is f"(x)=ex(x-5). You must show all the tests and the value you are testing to find the following, if they exist. critical number(s):_________ interval(s) where f is concave upward:__________ interval(s) where f is concave downward:__________
A function f (not given) has a domain of all real numbers. The 1st derivative is f'(x)=ex(x-6) and the 2nd derivative is f"(x)=ex(x-5). You must show all the tests and the value you are testing to find the following, if they exist. critical number(s):_________ interval(s) where f is concave upward:__________ interval(s) where f is concave downward:__________
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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A function f (not given) has a domain of all real numbers.
The 1st derivative is f'(x)=ex(x-6) and the 2nd derivative is f"(x)=ex(x-5).
You must show all the tests and the value you are testing to find the following, if they exist.
critical number(s):_________
interval(s) where f is concave upward:__________
interval(s) where f is concave downward:__________
Use the 2nd Derivative Test to find the type of local extrema and the x-value where they occur:__________
x-value of any point(s) of inflection:__________
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