Find the value of the derivative (if it exists) at the indicated extremum. f(x) - - 3xVx + 2 4 - 10 Step 1 The minimum and maximum of a function on an interval are the extreme values, or extrema (the singular form of extrema is extremum), of the function on the interval. In the given problem, the extremum occurs when x = 3 The specified function is f(x) = -3xx + 2 = -3x(x + 2)1/2 Differentiate f(x) using the product rule. f "(x) = -3x (x + 2) J + (x + 2)1/2. ([

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...
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Find the value of the derivative (if it exists) at the indicated extremum.
-4 4V6
f(x) = - 3xVx + 2
10
5
-2
2
4
–5
- 10
Step 1
The minimum and maximum of a function on an interval are the extreme values, or extrema (the singular form of extrema is extremum), of the function on the interval. In the given problem, the
extremum occurs when x =
The specified function is f(x) = -3xx + 2 = -3x(x + 2)1/2.
Differentiate f(x) using the product rule.
x[C
+ 2)1/2 . ([
f '(x) = -3
(x + 2)
+ (x
Transcribed Image Text:Find the value of the derivative (if it exists) at the indicated extremum. -4 4V6 f(x) = - 3xVx + 2 10 5 -2 2 4 –5 - 10 Step 1 The minimum and maximum of a function on an interval are the extreme values, or extrema (the singular form of extrema is extremum), of the function on the interval. In the given problem, the extremum occurs when x = The specified function is f(x) = -3xx + 2 = -3x(x + 2)1/2. Differentiate f(x) using the product rule. x[C + 2)1/2 . ([ f '(x) = -3 (x + 2) + (x
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